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Finding the Fourth Proportional to 9,557.84, 14,323.80 and 7,101.92

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Solution

The fourth proportional to 9,557.84, 14,323.80 and 7,101.92 is: 10,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.84 : 14,323.80 = 7,101.92 : x
  2. Step 2: Convert to fraction form
    9,557.84/14,323.80 = 7,101.92/x
  3. Step 3: Cross multiply
    9,557.84x = 14,323.80 × 7,101.92
  4. Step 4: Simplify right side
    9,557.84x = 101,726,481.70
  5. Step 5: Solve for x
    x = 101,726,481.70/9,557.84
  6. Step 6: Final answer
    x = 10,643.25

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1.5x scale

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.