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Finding the Fourth Proportional to 10,524.65, 14,524.10 and 5,744.63

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Solution

The fourth proportional to 10,524.65, 14,524.10 and 5,744.63 is: 7,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.65 : 14,524.10 = 5,744.63 : x
  2. Step 2: Convert to fraction form
    10,524.65/14,524.10 = 5,744.63/x
  3. Step 3: Cross multiply
    10,524.65x = 14,524.10 × 5,744.63
  4. Step 4: Simplify right side
    10,524.65x = 83,435,479.24
  5. Step 5: Solve for x
    x = 83,435,479.24/10,524.65
  6. Step 6: Final answer
    x = 7,927.63

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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.