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Finding the Fourth Proportional to 24,446.76, 36,656.32 and 7,802.88

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Solution

The fourth proportional to 24,446.76, 36,656.32 and 7,802.88 is: 11,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446.76 : 36,656.32 = 7,802.88 : x
  2. Step 2: Convert to fraction form
    24,446.76/36,656.32 = 7,802.88/x
  3. Step 3: Cross multiply
    24,446.76x = 36,656.32 × 7,802.88
  4. Step 4: Simplify right side
    24,446.76x = 286,024,866.20
  5. Step 5: Solve for x
    x = 286,024,866.20/24,446.76
  6. Step 6: Final answer
    x = 11,699.91

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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.