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Finding the Fourth Proportional to 6,387.54, 9,570.51 and 4,534.98

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Solution

The fourth proportional to 6,387.54, 9,570.51 and 4,534.98 is: 6,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.54 : 9,570.51 = 4,534.98 : x
  2. Step 2: Convert to fraction form
    6,387.54/9,570.51 = 4,534.98/x
  3. Step 3: Cross multiply
    6,387.54x = 9,570.51 × 4,534.98
  4. Step 4: Simplify right side
    6,387.54x = 43,402,071.44
  5. Step 5: Solve for x
    x = 43,402,071.44/6,387.54
  6. Step 6: Final answer
    x = 6,794.80

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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.