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Finding the Fourth Proportional to 8,532.56, 11,774.98 and 4,948.22

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Solution

The fourth proportional to 8,532.56, 11,774.98 and 4,948.22 is: 6,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.56 : 11,774.98 = 4,948.22 : x
  2. Step 2: Convert to fraction form
    8,532.56/11,774.98 = 4,948.22/x
  3. Step 3: Cross multiply
    8,532.56x = 11,774.98 × 4,948.22
  4. Step 4: Simplify right side
    8,532.56x = 58,265,191.54
  5. Step 5: Solve for x
    x = 58,265,191.54/8,532.56
  6. Step 6: Final answer
    x = 6,828.57

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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.