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Finding the Fourth Proportional to 8,296.53, 11,449.21 and 4,570.53

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Solution

The fourth proportional to 8,296.53, 11,449.21 and 4,570.53 is: 6,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.53 : 11,449.21 = 4,570.53 : x
  2. Step 2: Convert to fraction form
    8,296.53/11,449.21 = 4,570.53/x
  3. Step 3: Cross multiply
    8,296.53x = 11,449.21 × 4,570.53
  4. Step 4: Simplify right side
    8,296.53x = 52,328,957.78
  5. Step 5: Solve for x
    x = 52,328,957.78/8,296.53
  6. Step 6: Final answer
    x = 6,307.33

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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.