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Finding the Fourth Proportional to 6,543.51, 9,023.83 and 5,049.06

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Solution

The fourth proportional to 6,543.51, 9,023.83 and 5,049.06 is: 6,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.51 : 9,023.83 = 5,049.06 : x
  2. Step 2: Convert to fraction form
    6,543.51/9,023.83 = 5,049.06/x
  3. Step 3: Cross multiply
    6,543.51x = 9,023.83 × 5,049.06
  4. Step 4: Simplify right side
    6,543.51x = 45,561,859.10
  5. Step 5: Solve for x
    x = 45,561,859.10/6,543.51
  6. Step 6: Final answer
    x = 6,962.91

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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.