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Finding the Fourth Proportional to 10,232.70, 15,349.05 and 7,640.70

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Solution

The fourth proportional to 10,232.70, 15,349.05 and 7,640.70 is: 11,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.70 : 15,349.05 = 7,640.70 : x
  2. Step 2: Convert to fraction form
    10,232.70/15,349.05 = 7,640.70/x
  3. Step 3: Cross multiply
    10,232.70x = 15,349.05 × 7,640.70
  4. Step 4: Simplify right side
    10,232.70x = 117,277,486.34
  5. Step 5: Solve for x
    x = 117,277,486.34/10,232.70
  6. Step 6: Final answer
    x = 11,461.05

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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.