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Finding the Fourth Proportional to 37,807.66, 56,711.49 and 11,512.40

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Solution

The fourth proportional to 37,807.66, 56,711.49 and 11,512.40 is: 17,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.66 : 56,711.49 = 11,512.40 : x
  2. Step 2: Convert to fraction form
    37,807.66/56,711.49 = 11,512.40/x
  3. Step 3: Cross multiply
    37,807.66x = 56,711.49 × 11,512.40
  4. Step 4: Simplify right side
    37,807.66x = 652,885,499.25
  5. Step 5: Solve for x
    x = 652,885,499.25/37,807.66
  6. Step 6: Final answer
    x = 17,268.60

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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.