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Finding the Fourth Proportional to 6,842.61, 9,443.93 and 4,191.48

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Solution

The fourth proportional to 6,842.61, 9,443.93 and 4,191.48 is: 5,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.61 : 9,443.93 = 4,191.48 : x
  2. Step 2: Convert to fraction form
    6,842.61/9,443.93 = 4,191.48/x
  3. Step 3: Cross multiply
    6,842.61x = 9,443.93 × 4,191.48
  4. Step 4: Simplify right side
    6,842.61x = 39,584,022.76
  5. Step 5: Solve for x
    x = 39,584,022.76/6,842.61
  6. Step 6: Final answer
    x = 5,784.93

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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.