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Finding the Fourth Proportional to 24,501.64, 36,755.88 and 7,857.76

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Solution

The fourth proportional to 24,501.64, 36,755.88 and 7,857.76 is: 11,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.64 : 36,755.88 = 7,857.76 : x
  2. Step 2: Convert to fraction form
    24,501.64/36,755.88 = 7,857.76/x
  3. Step 3: Cross multiply
    24,501.64x = 36,755.88 × 7,857.76
  4. Step 4: Simplify right side
    24,501.64x = 288,818,883.63
  5. Step 5: Solve for x
    x = 288,818,883.63/24,501.64
  6. Step 6: Final answer
    x = 11,787.74

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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.