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Finding the Fourth Proportional to 7,159.69, 9,883.87 and 6,410.64

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Solution

The fourth proportional to 7,159.69, 9,883.87 and 6,410.64 is: 8,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.69 : 9,883.87 = 6,410.64 : x
  2. Step 2: Convert to fraction form
    7,159.69/9,883.87 = 6,410.64/x
  3. Step 3: Cross multiply
    7,159.69x = 9,883.87 × 6,410.64
  4. Step 4: Simplify right side
    7,159.69x = 63,361,989.47
  5. Step 5: Solve for x
    x = 63,361,989.47/7,159.69
  6. Step 6: Final answer
    x = 8,849.82

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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.