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Finding the Fourth Proportional to 7,182.52, 9,909.20 and 4,826.22

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Solution

The fourth proportional to 7,182.52, 9,909.20 and 4,826.22 is: 6,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.52 : 9,909.20 = 4,826.22 : x
  2. Step 2: Convert to fraction form
    7,182.52/9,909.20 = 4,826.22/x
  3. Step 3: Cross multiply
    7,182.52x = 9,909.20 × 4,826.22
  4. Step 4: Simplify right side
    7,182.52x = 47,823,979.22
  5. Step 5: Solve for x
    x = 47,823,979.22/7,182.52
  6. Step 6: Final answer
    x = 6,658.38

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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.