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Finding the Fourth Proportional to 9,064.83, 12,513.38 and 8,497.43

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Solution

The fourth proportional to 9,064.83, 12,513.38 and 8,497.43 is: 11,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.83 : 12,513.38 = 8,497.43 : x
  2. Step 2: Convert to fraction form
    9,064.83/12,513.38 = 8,497.43/x
  3. Step 3: Cross multiply
    9,064.83x = 12,513.38 × 8,497.43
  4. Step 4: Simplify right side
    9,064.83x = 106,331,570.61
  5. Step 5: Solve for x
    x = 106,331,570.61/9,064.83
  6. Step 6: Final answer
    x = 11,730.12

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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.