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Finding the Fourth Proportional to 10,002.64, 13,787.08 and 7,514.32

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Solution

The fourth proportional to 10,002.64, 13,787.08 and 7,514.32 is: 10,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.64 : 13,787.08 = 7,514.32 : x
  2. Step 2: Convert to fraction form
    10,002.64/13,787.08 = 7,514.32/x
  3. Step 3: Cross multiply
    10,002.64x = 13,787.08 × 7,514.32
  4. Step 4: Simplify right side
    10,002.64x = 103,600,530.99
  5. Step 5: Solve for x
    x = 103,600,530.99/10,002.64
  6. Step 6: Final answer
    x = 10,357.32

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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.