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Finding the Fourth Proportional to 7,103.55, 10,655.31 and 1,909.42

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Solution

The fourth proportional to 7,103.55, 10,655.31 and 1,909.42 is: 2,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.55 : 10,655.31 = 1,909.42 : x
  2. Step 2: Convert to fraction form
    7,103.55/10,655.31 = 1,909.42/x
  3. Step 3: Cross multiply
    7,103.55x = 10,655.31 × 1,909.42
  4. Step 4: Simplify right side
    7,103.55x = 20,345,462.02
  5. Step 5: Solve for x
    x = 20,345,462.02/7,103.55
  6. Step 6: Final answer
    x = 2,864.13

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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.