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Finding the Fourth Proportional to 23,143.80, 34,715.70 and 5,613.60

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Solution

The fourth proportional to 23,143.80, 34,715.70 and 5,613.60 is: 8,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.80 : 34,715.70 = 5,613.60 : x
  2. Step 2: Convert to fraction form
    23,143.80/34,715.70 = 5,613.60/x
  3. Step 3: Cross multiply
    23,143.80x = 34,715.70 × 5,613.60
  4. Step 4: Simplify right side
    23,143.80x = 194,880,053.52
  5. Step 5: Solve for x
    x = 194,880,053.52/23,143.80
  6. Step 6: Final answer
    x = 8,420.40

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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.