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Finding the Fourth Proportional to 7,103.52, 9,807.44 and 6,356.19

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Solution

The fourth proportional to 7,103.52, 9,807.44 and 6,356.19 is: 8,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.52 : 9,807.44 = 6,356.19 : x
  2. Step 2: Convert to fraction form
    7,103.52/9,807.44 = 6,356.19/x
  3. Step 3: Cross multiply
    7,103.52x = 9,807.44 × 6,356.19
  4. Step 4: Simplify right side
    7,103.52x = 62,337,920.27
  5. Step 5: Solve for x
    x = 62,337,920.27/7,103.52
  6. Step 6: Final answer
    x = 8,775.64

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Half scale
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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.