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Finding the Fourth Proportional to 9,642.18, 14,463.18 and 4,963.50

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Solution

The fourth proportional to 9,642.18, 14,463.18 and 4,963.50 is: 7,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.18 : 14,463.18 = 4,963.50 : x
  2. Step 2: Convert to fraction form
    9,642.18/14,463.18 = 4,963.50/x
  3. Step 3: Cross multiply
    9,642.18x = 14,463.18 × 4,963.50
  4. Step 4: Simplify right side
    9,642.18x = 71,787,993.93
  5. Step 5: Solve for x
    x = 71,787,993.93/9,642.18
  6. Step 6: Final answer
    x = 7,445.20

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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.