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Finding the Fourth Proportional to 9,243.92, 12,756.40 and 5,264.92

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Solution

The fourth proportional to 9,243.92, 12,756.40 and 5,264.92 is: 7,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.92 : 12,756.40 = 5,264.92 : x
  2. Step 2: Convert to fraction form
    9,243.92/12,756.40 = 5,264.92/x
  3. Step 3: Cross multiply
    9,243.92x = 12,756.40 × 5,264.92
  4. Step 4: Simplify right side
    9,243.92x = 67,161,425.49
  5. Step 5: Solve for x
    x = 67,161,425.49/9,243.92
  6. Step 6: Final answer
    x = 7,265.47

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