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Finding the Fourth Proportional to 6,864.14, 9,470.93 and 4,741.54

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Solution

The fourth proportional to 6,864.14, 9,470.93 and 4,741.54 is: 6,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.14 : 9,470.93 = 4,741.54 : x
  2. Step 2: Convert to fraction form
    6,864.14/9,470.93 = 4,741.54/x
  3. Step 3: Cross multiply
    6,864.14x = 9,470.93 × 4,741.54
  4. Step 4: Simplify right side
    6,864.14x = 44,906,746.05
  5. Step 5: Solve for x
    x = 44,906,746.05/6,864.14
  6. Step 6: Final answer
    x = 6,542.22

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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.