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Finding the Fourth Proportional to 9,154.75, 12,633.56 and 4,963

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Solution

The fourth proportional to 9,154.75, 12,633.56 and 4,963 is: 6,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.75 : 12,633.56 = 4,963 : x
  2. Step 2: Convert to fraction form
    9,154.75/12,633.56 = 4,963/x
  3. Step 3: Cross multiply
    9,154.75x = 12,633.56 × 4,963
  4. Step 4: Simplify right side
    9,154.75x = 62,700,358.28
  5. Step 5: Solve for x
    x = 62,700,358.28/9,154.75
  6. Step 6: Final answer
    x = 6,848.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.