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Finding the Fourth Proportional to 10,323, 14,248.98 and 6,597

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Solution

The fourth proportional to 10,323, 14,248.98 and 6,597 is: 9,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323 : 14,248.98 = 6,597 : x
  2. Step 2: Convert to fraction form
    10,323/14,248.98 = 6,597/x
  3. Step 3: Cross multiply
    10,323x = 14,248.98 × 6,597
  4. Step 4: Simplify right side
    10,323x = 94,000,521.06
  5. Step 5: Solve for x
    x = 94,000,521.06/10,323
  6. Step 6: Final answer
    x = 9,105.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.