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Finding the Fourth Proportional to 9,757.22, 13,465 and 5,508.32

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Solution

The fourth proportional to 9,757.22, 13,465 and 5,508.32 is: 7,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.22 : 13,465 = 5,508.32 : x
  2. Step 2: Convert to fraction form
    9,757.22/13,465 = 5,508.32/x
  3. Step 3: Cross multiply
    9,757.22x = 13,465 × 5,508.32
  4. Step 4: Simplify right side
    9,757.22x = 74,169,528.80
  5. Step 5: Solve for x
    x = 74,169,528.80/9,757.22
  6. Step 6: Final answer
    x = 7,601.50

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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.