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Finding the Fourth Proportional to 24,769.32, 37,155.70 and 9,978.28

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Solution

The fourth proportional to 24,769.32, 37,155.70 and 9,978.28 is: 14,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.32 : 37,155.70 = 9,978.28 : x
  2. Step 2: Convert to fraction form
    24,769.32/37,155.70 = 9,978.28/x
  3. Step 3: Cross multiply
    24,769.32x = 37,155.70 × 9,978.28
  4. Step 4: Simplify right side
    24,769.32x = 370,749,978.20
  5. Step 5: Solve for x
    x = 370,749,978.20/24,769.32
  6. Step 6: Final answer
    x = 14,968.11

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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.