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Finding the Fourth Proportional to 9,722.95, 14,584.46 and 6,595.22

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Solution

The fourth proportional to 9,722.95, 14,584.46 and 6,595.22 is: 9,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.95 : 14,584.46 = 6,595.22 : x
  2. Step 2: Convert to fraction form
    9,722.95/14,584.46 = 6,595.22/x
  3. Step 3: Cross multiply
    9,722.95x = 14,584.46 × 6,595.22
  4. Step 4: Simplify right side
    9,722.95x = 96,187,725.77
  5. Step 5: Solve for x
    x = 96,187,725.77/9,722.95
  6. Step 6: Final answer
    x = 9,892.85

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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.