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Finding the Fourth Proportional to 24,451.70, 36,659.52 and 7,802.15

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Solution

The fourth proportional to 24,451.70, 36,659.52 and 7,802.15 is: 11,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.70 : 36,659.52 = 7,802.15 : x
  2. Step 2: Convert to fraction form
    24,451.70/36,659.52 = 7,802.15/x
  3. Step 3: Cross multiply
    24,451.70x = 36,659.52 × 7,802.15
  4. Step 4: Simplify right side
    24,451.70x = 286,022,890.67
  5. Step 5: Solve for x
    x = 286,022,890.67/24,451.70
  6. Step 6: Final answer
    x = 11,697.47

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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.