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Finding the Fourth Proportional to 10,456.84, 14,424.10 and 6,205.10

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Solution

The fourth proportional to 10,456.84, 14,424.10 and 6,205.10 is: 8,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.84 : 14,424.10 = 6,205.10 : x
  2. Step 2: Convert to fraction form
    10,456.84/14,424.10 = 6,205.10/x
  3. Step 3: Cross multiply
    10,456.84x = 14,424.10 × 6,205.10
  4. Step 4: Simplify right side
    10,456.84x = 89,502,951.88
  5. Step 5: Solve for x
    x = 89,502,951.88/10,456.84
  6. Step 6: Final answer
    x = 8,559.28

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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.