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Finding the Fourth Proportional to 6,341.85, 8,751.60 and 3,509.16

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Solution

The fourth proportional to 6,341.85, 8,751.60 and 3,509.16 is: 4,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.85 : 8,751.60 = 3,509.16 : x
  2. Step 2: Convert to fraction form
    6,341.85/8,751.60 = 3,509.16/x
  3. Step 3: Cross multiply
    6,341.85x = 8,751.60 × 3,509.16
  4. Step 4: Simplify right side
    6,341.85x = 30,710,764.66
  5. Step 5: Solve for x
    x = 30,710,764.66/6,341.85
  6. Step 6: Final answer
    x = 4,842.56

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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.