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Finding the Fourth Proportional to 7,461.68, 10,294.88 and 4,631.12

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Solution

The fourth proportional to 7,461.68, 10,294.88 and 4,631.12 is: 6,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.68 : 10,294.88 = 4,631.12 : x
  2. Step 2: Convert to fraction form
    7,461.68/10,294.88 = 4,631.12/x
  3. Step 3: Cross multiply
    7,461.68x = 10,294.88 × 4,631.12
  4. Step 4: Simplify right side
    7,461.68x = 47,676,824.67
  5. Step 5: Solve for x
    x = 47,676,824.67/7,461.68
  6. Step 6: Final answer
    x = 6,389.56

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