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Finding the Fourth Proportional to 25,807.32, 38,710.16 and 7,339.32

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Solution

The fourth proportional to 25,807.32, 38,710.16 and 7,339.32 is: 11,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.32 : 38,710.16 = 7,339.32 : x
  2. Step 2: Convert to fraction form
    25,807.32/38,710.16 = 7,339.32/x
  3. Step 3: Cross multiply
    25,807.32x = 38,710.16 × 7,339.32
  4. Step 4: Simplify right side
    25,807.32x = 284,106,251.49
  5. Step 5: Solve for x
    x = 284,106,251.49/25,807.32
  6. Step 6: Final answer
    x = 11,008.75

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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.