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Finding the Fourth Proportional to 9,148.17, 12,612.99 and 7,467.87

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Solution

The fourth proportional to 9,148.17, 12,612.99 and 7,467.87 is: 10,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.17 : 12,612.99 = 7,467.87 : x
  2. Step 2: Convert to fraction form
    9,148.17/12,612.99 = 7,467.87/x
  3. Step 3: Cross multiply
    9,148.17x = 12,612.99 × 7,467.87
  4. Step 4: Simplify right side
    9,148.17x = 94,192,169.63
  5. Step 5: Solve for x
    x = 94,192,169.63/9,148.17
  6. Step 6: Final answer
    x = 10,296.29

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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.