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Finding the Fourth Proportional to 10,294.80, 15,458.40 and 7,832.40

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Solution

The fourth proportional to 10,294.80, 15,458.40 and 7,832.40 is: 11,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.80 : 15,458.40 = 7,832.40 : x
  2. Step 2: Convert to fraction form
    10,294.80/15,458.40 = 7,832.40/x
  3. Step 3: Cross multiply
    10,294.80x = 15,458.40 × 7,832.40
  4. Step 4: Simplify right side
    10,294.80x = 121,076,372.16
  5. Step 5: Solve for x
    x = 121,076,372.16/10,294.80
  6. Step 6: Final answer
    x = 11,760.93

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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.