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Finding the Fourth Proportional to 7,457.94, 10,296.18 and 6,701.40

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Solution

The fourth proportional to 7,457.94, 10,296.18 and 6,701.40 is: 9,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.94 : 10,296.18 = 6,701.40 : x
  2. Step 2: Convert to fraction form
    7,457.94/10,296.18 = 6,701.40/x
  3. Step 3: Cross multiply
    7,457.94x = 10,296.18 × 6,701.40
  4. Step 4: Simplify right side
    7,457.94x = 68,998,820.65
  5. Step 5: Solve for x
    x = 68,998,820.65/7,457.94
  6. Step 6: Final answer
    x = 9,251.73

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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.