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Finding the Fourth Proportional to 9,752.55, 14,631.13 and 3,178.74

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Solution

The fourth proportional to 9,752.55, 14,631.13 and 3,178.74 is: 4,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.55 : 14,631.13 = 3,178.74 : x
  2. Step 2: Convert to fraction form
    9,752.55/14,631.13 = 3,178.74/x
  3. Step 3: Cross multiply
    9,752.55x = 14,631.13 × 3,178.74
  4. Step 4: Simplify right side
    9,752.55x = 46,508,507.28
  5. Step 5: Solve for x
    x = 46,508,507.28/9,752.55
  6. Step 6: Final answer
    x = 4,768.86

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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.