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Finding the Fourth Proportional to 6,417.16, 9,625.98 and 1,800.28

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Solution

The fourth proportional to 6,417.16, 9,625.98 and 1,800.28 is: 2,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.16 : 9,625.98 = 1,800.28 : x
  2. Step 2: Convert to fraction form
    6,417.16/9,625.98 = 1,800.28/x
  3. Step 3: Cross multiply
    6,417.16x = 9,625.98 × 1,800.28
  4. Step 4: Simplify right side
    6,417.16x = 17,329,459.27
  5. Step 5: Solve for x
    x = 17,329,459.27/6,417.16
  6. Step 6: Final answer
    x = 2,700.49

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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.