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Finding the Fourth Proportional to 10,295.80, 15,422.10 and 8,094.04

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Solution

The fourth proportional to 10,295.80, 15,422.10 and 8,094.04 is: 12,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.80 : 15,422.10 = 8,094.04 : x
  2. Step 2: Convert to fraction form
    10,295.80/15,422.10 = 8,094.04/x
  3. Step 3: Cross multiply
    10,295.80x = 15,422.10 × 8,094.04
  4. Step 4: Simplify right side
    10,295.80x = 124,827,094.28
  5. Step 5: Solve for x
    x = 124,827,094.28/10,295.80
  6. Step 6: Final answer
    x = 12,124.08

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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.