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Finding the Fourth Proportional to 9,970.98, 13,759.70 and 5,494.66

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Solution

The fourth proportional to 9,970.98, 13,759.70 and 5,494.66 is: 7,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.98 : 13,759.70 = 5,494.66 : x
  2. Step 2: Convert to fraction form
    9,970.98/13,759.70 = 5,494.66/x
  3. Step 3: Cross multiply
    9,970.98x = 13,759.70 × 5,494.66
  4. Step 4: Simplify right side
    9,970.98x = 75,604,873.20
  5. Step 5: Solve for x
    x = 75,604,873.20/9,970.98
  6. Step 6: Final answer
    x = 7,582.49

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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.