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Finding the Fourth Proportional to 9,611.84, 13,264.00 and 5,362.61

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Solution

The fourth proportional to 9,611.84, 13,264.00 and 5,362.61 is: 7,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.84 : 13,264.00 = 5,362.61 : x
  2. Step 2: Convert to fraction form
    9,611.84/13,264.00 = 5,362.61/x
  3. Step 3: Cross multiply
    9,611.84x = 13,264.00 × 5,362.61
  4. Step 4: Simplify right side
    9,611.84x = 71,129,579.31
  5. Step 5: Solve for x
    x = 71,129,579.31/9,611.84
  6. Step 6: Final answer
    x = 7,400.20

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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.