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Finding the Fourth Proportional to 12,098.40, 16,903.20 and 12,098.40

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Solution

The fourth proportional to 12,098.40, 16,903.20 and 12,098.40 is: 16,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.40 : 16,903.20 = 12,098.40 : x
  2. Step 2: Convert to fraction form
    12,098.40/16,903.20 = 12,098.40/x
  3. Step 3: Cross multiply
    12,098.40x = 16,903.20 × 12,098.40
  4. Step 4: Simplify right side
    12,098.40x = 204,501,674.88
  5. Step 5: Solve for x
    x = 204,501,674.88/12,098.40
  6. Step 6: Final answer
    x = 16,903.20

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.