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Finding the Fourth Proportional to 9,616.63, 13,275 and 5,841.02

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Solution

The fourth proportional to 9,616.63, 13,275 and 5,841.02 is: 8,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.63 : 13,275 = 5,841.02 : x
  2. Step 2: Convert to fraction form
    9,616.63/13,275 = 5,841.02/x
  3. Step 3: Cross multiply
    9,616.63x = 13,275 × 5,841.02
  4. Step 4: Simplify right side
    9,616.63x = 77,539,540.50
  5. Step 5: Solve for x
    x = 77,539,540.50/9,616.63
  6. Step 6: Final answer
    x = 8,063.07

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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.