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Finding the Fourth Proportional to 7,126.88, 9,834.80 and 4,142.69

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Solution

The fourth proportional to 7,126.88, 9,834.80 and 4,142.69 is: 5,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.88 : 9,834.80 = 4,142.69 : x
  2. Step 2: Convert to fraction form
    7,126.88/9,834.80 = 4,142.69/x
  3. Step 3: Cross multiply
    7,126.88x = 9,834.80 × 4,142.69
  4. Step 4: Simplify right side
    7,126.88x = 40,742,457.72
  5. Step 5: Solve for x
    x = 40,742,457.72/7,126.88
  6. Step 6: Final answer
    x = 5,716.74

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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.