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Finding the Fourth Proportional to 7,443.20, 10,446.40 and 7,443.20

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Solution

The fourth proportional to 7,443.20, 10,446.40 and 7,443.20 is: 10,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.20 : 10,446.40 = 7,443.20 : x
  2. Step 2: Convert to fraction form
    7,443.20/10,446.40 = 7,443.20/x
  3. Step 3: Cross multiply
    7,443.20x = 10,446.40 × 7,443.20
  4. Step 4: Simplify right side
    7,443.20x = 77,754,644.48
  5. Step 5: Solve for x
    x = 77,754,644.48/7,443.20
  6. Step 6: Final answer
    x = 10,446.40

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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.