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Finding the Fourth Proportional to 25,297.59, 37,948.23 and 9,715.22

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Solution

The fourth proportional to 25,297.59, 37,948.23 and 9,715.22 is: 14,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297.59 : 37,948.23 = 9,715.22 : x
  2. Step 2: Convert to fraction form
    25,297.59/37,948.23 = 9,715.22/x
  3. Step 3: Cross multiply
    25,297.59x = 37,948.23 × 9,715.22
  4. Step 4: Simplify right side
    25,297.59x = 368,675,355.63
  5. Step 5: Solve for x
    x = 368,675,355.63/25,297.59
  6. Step 6: Final answer
    x = 14,573.53

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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.