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Finding the Fourth Proportional to 7,613.58, 10,507.02 and 4,257

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Solution

The fourth proportional to 7,613.58, 10,507.02 and 4,257 is: 5,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.58 : 10,507.02 = 4,257 : x
  2. Step 2: Convert to fraction form
    7,613.58/10,507.02 = 4,257/x
  3. Step 3: Cross multiply
    7,613.58x = 10,507.02 × 4,257
  4. Step 4: Simplify right side
    7,613.58x = 44,728,384.14
  5. Step 5: Solve for x
    x = 44,728,384.14/7,613.58
  6. Step 6: Final answer
    x = 5,874.82

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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.