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Finding the Fourth Proportional to 26,248.50, 39,372.75 and 7,780.50

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Solution

The fourth proportional to 26,248.50, 39,372.75 and 7,780.50 is: 11,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,248.50 : 39,372.75 = 7,780.50 : x
  2. Step 2: Convert to fraction form
    26,248.50/39,372.75 = 7,780.50/x
  3. Step 3: Cross multiply
    26,248.50x = 39,372.75 × 7,780.50
  4. Step 4: Simplify right side
    26,248.50x = 306,339,681.38
  5. Step 5: Solve for x
    x = 306,339,681.38/26,248.50
  6. Step 6: Final answer
    x = 11,670.75

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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.