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Finding the Fourth Proportional to 7,523.84, 10,382.88 and 4,166.88

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Solution

The fourth proportional to 7,523.84, 10,382.88 and 4,166.88 is: 5,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.84 : 10,382.88 = 4,166.88 : x
  2. Step 2: Convert to fraction form
    7,523.84/10,382.88 = 4,166.88/x
  3. Step 3: Cross multiply
    7,523.84x = 10,382.88 × 4,166.88
  4. Step 4: Simplify right side
    7,523.84x = 43,264,215.01
  5. Step 5: Solve for x
    x = 43,264,215.01/7,523.84
  6. Step 6: Final answer
    x = 5,750.28

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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.