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Finding the Fourth Proportional to 8,977.64, 13,468.71 and 5,282.96

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Solution

The fourth proportional to 8,977.64, 13,468.71 and 5,282.96 is: 7,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.64 : 13,468.71 = 5,282.96 : x
  2. Step 2: Convert to fraction form
    8,977.64/13,468.71 = 5,282.96/x
  3. Step 3: Cross multiply
    8,977.64x = 13,468.71 × 5,282.96
  4. Step 4: Simplify right side
    8,977.64x = 71,154,656.18
  5. Step 5: Solve for x
    x = 71,154,656.18/8,977.64
  6. Step 6: Final answer
    x = 7,925.76

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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.