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Finding the Fourth Proportional to 9,577.85, 13,214.85 and 5,599.94

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Solution

The fourth proportional to 9,577.85, 13,214.85 and 5,599.94 is: 7,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.85 : 13,214.85 = 5,599.94 : x
  2. Step 2: Convert to fraction form
    9,577.85/13,214.85 = 5,599.94/x
  3. Step 3: Cross multiply
    9,577.85x = 13,214.85 × 5,599.94
  4. Step 4: Simplify right side
    9,577.85x = 74,002,367.11
  5. Step 5: Solve for x
    x = 74,002,367.11/9,577.85
  6. Step 6: Final answer
    x = 7,726.41

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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.