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Finding the Fourth Proportional to 24,470.98, 36,709.13 and 7,827.10

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Solution

The fourth proportional to 24,470.98, 36,709.13 and 7,827.10 is: 11,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.98 : 36,709.13 = 7,827.10 : x
  2. Step 2: Convert to fraction form
    24,470.98/36,709.13 = 7,827.10/x
  3. Step 3: Cross multiply
    24,470.98x = 36,709.13 × 7,827.10
  4. Step 4: Simplify right side
    24,470.98x = 287,325,959.22
  5. Step 5: Solve for x
    x = 287,325,959.22/24,470.98
  6. Step 6: Final answer
    x = 11,741.50

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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.