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Finding the Fourth Proportional to 10,524.65, 14,510.06 and 8,725.34

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Solution

The fourth proportional to 10,524.65, 14,510.06 and 8,725.34 is: 12,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.65 : 14,510.06 = 8,725.34 : x
  2. Step 2: Convert to fraction form
    10,524.65/14,510.06 = 8,725.34/x
  3. Step 3: Cross multiply
    10,524.65x = 14,510.06 × 8,725.34
  4. Step 4: Simplify right side
    10,524.65x = 126,605,175.21
  5. Step 5: Solve for x
    x = 126,605,175.21/10,524.65
  6. Step 6: Final answer
    x = 12,029.39

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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.