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Finding the Fourth Proportional to 37,468.16, 56,200.94 and 9,388.46

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Solution

The fourth proportional to 37,468.16, 56,200.94 and 9,388.46 is: 14,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.16 : 56,200.94 = 9,388.46 : x
  2. Step 2: Convert to fraction form
    37,468.16/56,200.94 = 9,388.46/x
  3. Step 3: Cross multiply
    37,468.16x = 56,200.94 × 9,388.46
  4. Step 4: Simplify right side
    37,468.16x = 527,640,277.15
  5. Step 5: Solve for x
    x = 527,640,277.15/37,468.16
  6. Step 6: Final answer
    x = 14,082.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.