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Finding the Fourth Proportional to 10,698.48, 14,764.07 and 6,449.49

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Solution

The fourth proportional to 10,698.48, 14,764.07 and 6,449.49 is: 8,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.48 : 14,764.07 = 6,449.49 : x
  2. Step 2: Convert to fraction form
    10,698.48/14,764.07 = 6,449.49/x
  3. Step 3: Cross multiply
    10,698.48x = 14,764.07 × 6,449.49
  4. Step 4: Simplify right side
    10,698.48x = 95,220,737.95
  5. Step 5: Solve for x
    x = 95,220,737.95/10,698.48
  6. Step 6: Final answer
    x = 8,900.40

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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.