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Finding the Fourth Proportional to 11,565, 15,959.70 and 6,597

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Solution

The fourth proportional to 11,565, 15,959.70 and 6,597 is: 9,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565 : 15,959.70 = 6,597 : x
  2. Step 2: Convert to fraction form
    11,565/15,959.70 = 6,597/x
  3. Step 3: Cross multiply
    11,565x = 15,959.70 × 6,597
  4. Step 4: Simplify right side
    11,565x = 105,286,140.90
  5. Step 5: Solve for x
    x = 105,286,140.90/11,565
  6. Step 6: Final answer
    x = 9,103.86

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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.