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Finding the Fourth Proportional to 9,842.60, 14,761.26 and 6,722.07

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Solution

The fourth proportional to 9,842.60, 14,761.26 and 6,722.07 is: 10,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.60 : 14,761.26 = 6,722.07 : x
  2. Step 2: Convert to fraction form
    9,842.60/14,761.26 = 6,722.07/x
  3. Step 3: Cross multiply
    9,842.60x = 14,761.26 × 6,722.07
  4. Step 4: Simplify right side
    9,842.60x = 99,226,223.01
  5. Step 5: Solve for x
    x = 99,226,223.01/9,842.60
  6. Step 6: Final answer
    x = 10,081.30

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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.