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Finding the Fourth Proportional to 10,522.13, 14,525.78 and 6,544.52

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Solution

The fourth proportional to 10,522.13, 14,525.78 and 6,544.52 is: 9,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.13 : 14,525.78 = 6,544.52 : x
  2. Step 2: Convert to fraction form
    10,522.13/14,525.78 = 6,544.52/x
  3. Step 3: Cross multiply
    10,522.13x = 14,525.78 × 6,544.52
  4. Step 4: Simplify right side
    10,522.13x = 95,064,152.37
  5. Step 5: Solve for x
    x = 95,064,152.37/10,522.13
  6. Step 6: Final answer
    x = 9,034.69

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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.