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Finding the Fourth Proportional to 11,417.93, 15,761.58 and 6,943.10

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Solution

The fourth proportional to 11,417.93, 15,761.58 and 6,943.10 is: 9,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.93 : 15,761.58 = 6,943.10 : x
  2. Step 2: Convert to fraction form
    11,417.93/15,761.58 = 6,943.10/x
  3. Step 3: Cross multiply
    11,417.93x = 15,761.58 × 6,943.10
  4. Step 4: Simplify right side
    11,417.93x = 109,434,147.29
  5. Step 5: Solve for x
    x = 109,434,147.29/11,417.93
  6. Step 6: Final answer
    x = 9,584.42

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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.