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Finding the Fourth Proportional to 9,197.34, 13,678.44 and 9,098.92

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Solution

The fourth proportional to 9,197.34, 13,678.44 and 9,098.92 is: 13,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.34 : 13,678.44 = 9,098.92 : x
  2. Step 2: Convert to fraction form
    9,197.34/13,678.44 = 9,098.92/x
  3. Step 3: Cross multiply
    9,197.34x = 13,678.44 × 9,098.92
  4. Step 4: Simplify right side
    9,197.34x = 124,459,031.28
  5. Step 5: Solve for x
    x = 124,459,031.28/9,197.34
  6. Step 6: Final answer
    x = 13,532.07

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.