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Finding the Fourth Proportional to 7,841.84, 10,806.11 and 5,597.40

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Solution

The fourth proportional to 7,841.84, 10,806.11 and 5,597.40 is: 7,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.84 : 10,806.11 = 5,597.40 : x
  2. Step 2: Convert to fraction form
    7,841.84/10,806.11 = 5,597.40/x
  3. Step 3: Cross multiply
    7,841.84x = 10,806.11 × 5,597.40
  4. Step 4: Simplify right side
    7,841.84x = 60,486,120.11
  5. Step 5: Solve for x
    x = 60,486,120.11/7,841.84
  6. Step 6: Final answer
    x = 7,713.26

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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.