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Finding the Fourth Proportional to 10,154.84, 14,009.28 and 6,375.44

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Solution

The fourth proportional to 10,154.84, 14,009.28 and 6,375.44 is: 8,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.84 : 14,009.28 = 6,375.44 : x
  2. Step 2: Convert to fraction form
    10,154.84/14,009.28 = 6,375.44/x
  3. Step 3: Cross multiply
    10,154.84x = 14,009.28 × 6,375.44
  4. Step 4: Simplify right side
    10,154.84x = 89,315,324.08
  5. Step 5: Solve for x
    x = 89,315,324.08/10,154.84
  6. Step 6: Final answer
    x = 8,795.35

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1.5x scale

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.