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Finding the Fourth Proportional to 7,154.07, 9,867.67 and 5,034.05

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Solution

The fourth proportional to 7,154.07, 9,867.67 and 5,034.05 is: 6,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.07 : 9,867.67 = 5,034.05 : x
  2. Step 2: Convert to fraction form
    7,154.07/9,867.67 = 5,034.05/x
  3. Step 3: Cross multiply
    7,154.07x = 9,867.67 × 5,034.05
  4. Step 4: Simplify right side
    7,154.07x = 49,674,347.56
  5. Step 5: Solve for x
    x = 49,674,347.56/7,154.07
  6. Step 6: Final answer
    x = 6,943.51

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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.