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Finding the Fourth Proportional to 37,681.50, 56,522.25 and 9,979.50

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Solution

The fourth proportional to 37,681.50, 56,522.25 and 9,979.50 is: 14,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,681.50 : 56,522.25 = 9,979.50 : x
  2. Step 2: Convert to fraction form
    37,681.50/56,522.25 = 9,979.50/x
  3. Step 3: Cross multiply
    37,681.50x = 56,522.25 × 9,979.50
  4. Step 4: Simplify right side
    37,681.50x = 564,063,793.88
  5. Step 5: Solve for x
    x = 564,063,793.88/37,681.50
  6. Step 6: Final answer
    x = 14,969.25

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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.