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Finding the Fourth Proportional to 9,695.85, 13,381.53 and 5,918.23

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Solution

The fourth proportional to 9,695.85, 13,381.53 and 5,918.23 is: 8,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.85 : 13,381.53 = 5,918.23 : x
  2. Step 2: Convert to fraction form
    9,695.85/13,381.53 = 5,918.23/x
  3. Step 3: Cross multiply
    9,695.85x = 13,381.53 × 5,918.23
  4. Step 4: Simplify right side
    9,695.85x = 79,194,972.29
  5. Step 5: Solve for x
    x = 79,194,972.29/9,695.85
  6. Step 6: Final answer
    x = 8,167.92

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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.