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Finding the Fourth Proportional to 24,296.58, 36,446.40 and 7,657.20

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Solution

The fourth proportional to 24,296.58, 36,446.40 and 7,657.20 is: 11,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.58 : 36,446.40 = 7,657.20 : x
  2. Step 2: Convert to fraction form
    24,296.58/36,446.40 = 7,657.20/x
  3. Step 3: Cross multiply
    24,296.58x = 36,446.40 × 7,657.20
  4. Step 4: Simplify right side
    24,296.58x = 279,077,374.08
  5. Step 5: Solve for x
    x = 279,077,374.08/24,296.58
  6. Step 6: Final answer
    x = 11,486.28

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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.