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Finding the Fourth Proportional to 6,498.48, 9,741.86 and 2,337.51

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Solution

The fourth proportional to 6,498.48, 9,741.86 and 2,337.51 is: 3,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.48 : 9,741.86 = 2,337.51 : x
  2. Step 2: Convert to fraction form
    6,498.48/9,741.86 = 2,337.51/x
  3. Step 3: Cross multiply
    6,498.48x = 9,741.86 × 2,337.51
  4. Step 4: Simplify right side
    6,498.48x = 22,771,695.17
  5. Step 5: Solve for x
    x = 22,771,695.17/6,498.48
  6. Step 6: Final answer
    x = 3,504.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.