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Finding the Fourth Proportional to 7,018.56, 9,684.96 and 4,034.10

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Solution

The fourth proportional to 7,018.56, 9,684.96 and 4,034.10 is: 5,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.56 : 9,684.96 = 4,034.10 : x
  2. Step 2: Convert to fraction form
    7,018.56/9,684.96 = 4,034.10/x
  3. Step 3: Cross multiply
    7,018.56x = 9,684.96 × 4,034.10
  4. Step 4: Simplify right side
    7,018.56x = 39,070,097.14
  5. Step 5: Solve for x
    x = 39,070,097.14/7,018.56
  6. Step 6: Final answer
    x = 5,566.68

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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.