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Finding the Fourth Proportional to 7,034.81, 9,708.14 and 4,051.18

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Solution

The fourth proportional to 7,034.81, 9,708.14 and 4,051.18 is: 5,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.81 : 9,708.14 = 4,051.18 : x
  2. Step 2: Convert to fraction form
    7,034.81/9,708.14 = 4,051.18/x
  3. Step 3: Cross multiply
    7,034.81x = 9,708.14 × 4,051.18
  4. Step 4: Simplify right side
    7,034.81x = 39,329,353.81
  5. Step 5: Solve for x
    x = 39,329,353.81/7,034.81
  6. Step 6: Final answer
    x = 5,590.68

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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.