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Finding the Fourth Proportional to 37,666.62, 56,493.93 and 9,966.78

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Solution

The fourth proportional to 37,666.62, 56,493.93 and 9,966.78 is: 14,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666.62 : 56,493.93 = 9,966.78 : x
  2. Step 2: Convert to fraction form
    37,666.62/56,493.93 = 9,966.78/x
  3. Step 3: Cross multiply
    37,666.62x = 56,493.93 × 9,966.78
  4. Step 4: Simplify right side
    37,666.62x = 563,062,571.65
  5. Step 5: Solve for x
    x = 563,062,571.65/37,666.62
  6. Step 6: Final answer
    x = 14,948.58

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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.