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Finding the Fourth Proportional to 15,715.65, 23,573.48 and 7,398.98

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Solution

The fourth proportional to 15,715.65, 23,573.48 and 7,398.98 is: 11,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.65 : 23,573.48 = 7,398.98 : x
  2. Step 2: Convert to fraction form
    15,715.65/23,573.48 = 7,398.98/x
  3. Step 3: Cross multiply
    15,715.65x = 23,573.48 × 7,398.98
  4. Step 4: Simplify right side
    15,715.65x = 174,419,682.21
  5. Step 5: Solve for x
    x = 174,419,682.21/15,715.65
  6. Step 6: Final answer
    x = 11,098.47

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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.