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Finding the Fourth Proportional to 25,284.78, 37,927.20 and 9,702.78

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Solution

The fourth proportional to 25,284.78, 37,927.20 and 9,702.78 is: 14,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284.78 : 37,927.20 = 9,702.78 : x
  2. Step 2: Convert to fraction form
    25,284.78/37,927.20 = 9,702.78/x
  3. Step 3: Cross multiply
    25,284.78x = 37,927.20 × 9,702.78
  4. Step 4: Simplify right side
    25,284.78x = 367,999,277.62
  5. Step 5: Solve for x
    x = 367,999,277.62/25,284.78
  6. Step 6: Final answer
    x = 14,554.18

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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.