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Finding the Fourth Proportional to 6,842.88, 9,446.76 and 4,616.40

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Solution

The fourth proportional to 6,842.88, 9,446.76 and 4,616.40 is: 6,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.88 : 9,446.76 = 4,616.40 : x
  2. Step 2: Convert to fraction form
    6,842.88/9,446.76 = 4,616.40/x
  3. Step 3: Cross multiply
    6,842.88x = 9,446.76 × 4,616.40
  4. Step 4: Simplify right side
    6,842.88x = 43,610,022.86
  5. Step 5: Solve for x
    x = 43,610,022.86/6,842.88
  6. Step 6: Final answer
    x = 6,373.05

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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.