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Finding the Fourth Proportional to 7,310.88, 10,913.76 and 6,770.16

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Solution

The fourth proportional to 7,310.88, 10,913.76 and 6,770.16 is: 10,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.88 : 10,913.76 = 6,770.16 : x
  2. Step 2: Convert to fraction form
    7,310.88/10,913.76 = 6,770.16/x
  3. Step 3: Cross multiply
    7,310.88x = 10,913.76 × 6,770.16
  4. Step 4: Simplify right side
    7,310.88x = 73,887,901.40
  5. Step 5: Solve for x
    x = 73,887,901.40/7,310.88
  6. Step 6: Final answer
    x = 10,106.57

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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.