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Finding the Fourth Proportional to 6,463.76, 8,909.64 and 4,364.24

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Solution

The fourth proportional to 6,463.76, 8,909.64 and 4,364.24 is: 6,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.76 : 8,909.64 = 4,364.24 : x
  2. Step 2: Convert to fraction form
    6,463.76/8,909.64 = 4,364.24/x
  3. Step 3: Cross multiply
    6,463.76x = 8,909.64 × 4,364.24
  4. Step 4: Simplify right side
    6,463.76x = 38,883,807.27
  5. Step 5: Solve for x
    x = 38,883,807.27/6,463.76
  6. Step 6: Final answer
    x = 6,015.66

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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.