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Finding the Fourth Proportional to 24,769.66, 37,154.06 and 9,978.20

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Solution

The fourth proportional to 24,769.66, 37,154.06 and 9,978.20 is: 14,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.66 : 37,154.06 = 9,978.20 : x
  2. Step 2: Convert to fraction form
    24,769.66/37,154.06 = 9,978.20/x
  3. Step 3: Cross multiply
    24,769.66x = 37,154.06 × 9,978.20
  4. Step 4: Simplify right side
    24,769.66x = 370,730,405.83
  5. Step 5: Solve for x
    x = 370,730,405.83/24,769.66
  6. Step 6: Final answer
    x = 14,967.12

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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.