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Finding the Fourth Proportional to 9,281.56, 13,841.75 and 8,764.24

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Solution

The fourth proportional to 9,281.56, 13,841.75 and 8,764.24 is: 13,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.56 : 13,841.75 = 8,764.24 : x
  2. Step 2: Convert to fraction form
    9,281.56/13,841.75 = 8,764.24/x
  3. Step 3: Cross multiply
    9,281.56x = 13,841.75 × 8,764.24
  4. Step 4: Simplify right side
    9,281.56x = 121,312,419.02
  5. Step 5: Solve for x
    x = 121,312,419.02/9,281.56
  6. Step 6: Final answer
    x = 13,070.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.