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Finding the Fourth Proportional to 6,356.04, 9,521.64 and 4,377

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Solution

The fourth proportional to 6,356.04, 9,521.64 and 4,377 is: 6,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.04 : 9,521.64 = 4,377 : x
  2. Step 2: Convert to fraction form
    6,356.04/9,521.64 = 4,377/x
  3. Step 3: Cross multiply
    6,356.04x = 9,521.64 × 4,377
  4. Step 4: Simplify right side
    6,356.04x = 41,676,218.28
  5. Step 5: Solve for x
    x = 41,676,218.28/6,356.04
  6. Step 6: Final answer
    x = 6,556.95

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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.