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Finding the Fourth Proportional to 6,541.62, 9,026.01 and 4,774.20

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Solution

The fourth proportional to 6,541.62, 9,026.01 and 4,774.20 is: 6,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.62 : 9,026.01 = 4,774.20 : x
  2. Step 2: Convert to fraction form
    6,541.62/9,026.01 = 4,774.20/x
  3. Step 3: Cross multiply
    6,541.62x = 9,026.01 × 4,774.20
  4. Step 4: Simplify right side
    6,541.62x = 43,091,976.94
  5. Step 5: Solve for x
    x = 43,091,976.94/6,541.62
  6. Step 6: Final answer
    x = 6,587.36

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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.