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Finding the Fourth Proportional to 4,447.84, 6,672.10 and 1,526.12

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Solution

The fourth proportional to 4,447.84, 6,672.10 and 1,526.12 is: 2,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.84 : 6,672.10 = 1,526.12 : x
  2. Step 2: Convert to fraction form
    4,447.84/6,672.10 = 1,526.12/x
  3. Step 3: Cross multiply
    4,447.84x = 6,672.10 × 1,526.12
  4. Step 4: Simplify right side
    4,447.84x = 10,182,425.25
  5. Step 5: Solve for x
    x = 10,182,425.25/4,447.84
  6. Step 6: Final answer
    x = 2,289.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.