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Finding the Fourth Proportional to 15,302.96, 22,960.56 and 6,986.90

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Solution

The fourth proportional to 15,302.96, 22,960.56 and 6,986.90 is: 10,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302.96 : 22,960.56 = 6,986.90 : x
  2. Step 2: Convert to fraction form
    15,302.96/22,960.56 = 6,986.90/x
  3. Step 3: Cross multiply
    15,302.96x = 22,960.56 × 6,986.90
  4. Step 4: Simplify right side
    15,302.96x = 160,423,136.66
  5. Step 5: Solve for x
    x = 160,423,136.66/15,302.96
  6. Step 6: Final answer
    x = 10,483.14

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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.