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Finding the Fourth Proportional to 9,101.96, 13,652.95 and 5,203.63

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Solution

The fourth proportional to 9,101.96, 13,652.95 and 5,203.63 is: 7,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.96 : 13,652.95 = 5,203.63 : x
  2. Step 2: Convert to fraction form
    9,101.96/13,652.95 = 5,203.63/x
  3. Step 3: Cross multiply
    9,101.96x = 13,652.95 × 5,203.63
  4. Step 4: Simplify right side
    9,101.96x = 71,044,900.21
  5. Step 5: Solve for x
    x = 71,044,900.21/9,101.96
  6. Step 6: Final answer
    x = 7,805.45

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.