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Finding the Fourth Proportional to 9,862.48, 14,791.56 and 6,942.16

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Solution

The fourth proportional to 9,862.48, 14,791.56 and 6,942.16 is: 10,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.48 : 14,791.56 = 6,942.16 : x
  2. Step 2: Convert to fraction form
    9,862.48/14,791.56 = 6,942.16/x
  3. Step 3: Cross multiply
    9,862.48x = 14,791.56 × 6,942.16
  4. Step 4: Simplify right side
    9,862.48x = 102,685,376.17
  5. Step 5: Solve for x
    x = 102,685,376.17/9,862.48
  6. Step 6: Final answer
    x = 10,411.72

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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.