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Finding the Fourth Proportional to 9,924.17, 14,889.90 and 7,153.97

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Solution

The fourth proportional to 9,924.17, 14,889.90 and 7,153.97 is: 10,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.17 : 14,889.90 = 7,153.97 : x
  2. Step 2: Convert to fraction form
    9,924.17/14,889.90 = 7,153.97/x
  3. Step 3: Cross multiply
    9,924.17x = 14,889.90 × 7,153.97
  4. Step 4: Simplify right side
    9,924.17x = 106,521,823.45
  5. Step 5: Solve for x
    x = 106,521,823.45/9,924.17
  6. Step 6: Final answer
    x = 10,733.58

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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.