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Finding the Fourth Proportional to 7,851.17, 11,725.65 and 7,034.69

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Solution

The fourth proportional to 7,851.17, 11,725.65 and 7,034.69 is: 10,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.17 : 11,725.65 = 7,034.69 : x
  2. Step 2: Convert to fraction form
    7,851.17/11,725.65 = 7,034.69/x
  3. Step 3: Cross multiply
    7,851.17x = 11,725.65 × 7,034.69
  4. Step 4: Simplify right side
    7,851.17x = 82,486,330.39
  5. Step 5: Solve for x
    x = 82,486,330.39/7,851.17
  6. Step 6: Final answer
    x = 10,506.25

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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.