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Finding the Fourth Proportional to 7,854.30, 10,834.11 and 5,612.30

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Solution

The fourth proportional to 7,854.30, 10,834.11 and 5,612.30 is: 7,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.30 : 10,834.11 = 5,612.30 : x
  2. Step 2: Convert to fraction form
    7,854.30/10,834.11 = 5,612.30/x
  3. Step 3: Cross multiply
    7,854.30x = 10,834.11 × 5,612.30
  4. Step 4: Simplify right side
    7,854.30x = 60,804,262.01
  5. Step 5: Solve for x
    x = 60,804,262.01/7,854.30
  6. Step 6: Final answer
    x = 7,741.53

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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.