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Finding the Fourth Proportional to 9,970.67, 13,759.65 and 5,494.32

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Solution

The fourth proportional to 9,970.67, 13,759.65 and 5,494.32 is: 7,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.67 : 13,759.65 = 5,494.32 : x
  2. Step 2: Convert to fraction form
    9,970.67/13,759.65 = 5,494.32/x
  3. Step 3: Cross multiply
    9,970.67x = 13,759.65 × 5,494.32
  4. Step 4: Simplify right side
    9,970.67x = 75,599,972.46
  5. Step 5: Solve for x
    x = 75,599,972.46/9,970.67
  6. Step 6: Final answer
    x = 7,582.24

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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.