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Finding the Fourth Proportional to 9,850.98, 13,594.11 and 5,374.77

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Solution

The fourth proportional to 9,850.98, 13,594.11 and 5,374.77 is: 7,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.98 : 13,594.11 = 5,374.77 : x
  2. Step 2: Convert to fraction form
    9,850.98/13,594.11 = 5,374.77/x
  3. Step 3: Cross multiply
    9,850.98x = 13,594.11 × 5,374.77
  4. Step 4: Simplify right side
    9,850.98x = 73,065,143.47
  5. Step 5: Solve for x
    x = 73,065,143.47/9,850.98
  6. Step 6: Final answer
    x = 7,417.04

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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.