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Finding the Fourth Proportional to 10,294.20, 14,208.71 and 7,108.02

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Solution

The fourth proportional to 10,294.20, 14,208.71 and 7,108.02 is: 9,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.20 : 14,208.71 = 7,108.02 : x
  2. Step 2: Convert to fraction form
    10,294.20/14,208.71 = 7,108.02/x
  3. Step 3: Cross multiply
    10,294.20x = 14,208.71 × 7,108.02
  4. Step 4: Simplify right side
    10,294.20x = 100,995,794.85
  5. Step 5: Solve for x
    x = 100,995,794.85/10,294.20
  6. Step 6: Final answer
    x = 9,810.94

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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.