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Finding the Fourth Proportional to 15,578.55, 23,377.95 and 9,738.45

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Solution

The fourth proportional to 15,578.55, 23,377.95 and 9,738.45 is: 14,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.55 : 23,377.95 = 9,738.45 : x
  2. Step 2: Convert to fraction form
    15,578.55/23,377.95 = 9,738.45/x
  3. Step 3: Cross multiply
    15,578.55x = 23,377.95 × 9,738.45
  4. Step 4: Simplify right side
    15,578.55x = 227,664,997.18
  5. Step 5: Solve for x
    x = 227,664,997.18/15,578.55
  6. Step 6: Final answer
    x = 14,614.00

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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.