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Finding the Fourth Proportional to 7,752.57, 11,572.61 and 7,174.36

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Solution

The fourth proportional to 7,752.57, 11,572.61 and 7,174.36 is: 10,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.57 : 11,572.61 = 7,174.36 : x
  2. Step 2: Convert to fraction form
    7,752.57/11,572.61 = 7,174.36/x
  3. Step 3: Cross multiply
    7,752.57x = 11,572.61 × 7,174.36
  4. Step 4: Simplify right side
    7,752.57x = 83,026,070.28
  5. Step 5: Solve for x
    x = 83,026,070.28/7,752.57
  6. Step 6: Final answer
    x = 10,709.49

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.