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Finding the Fourth Proportional to 6,347.77, 9,522.68 and 1,965.22

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Solution

The fourth proportional to 6,347.77, 9,522.68 and 1,965.22 is: 2,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.77 : 9,522.68 = 1,965.22 : x
  2. Step 2: Convert to fraction form
    6,347.77/9,522.68 = 1,965.22/x
  3. Step 3: Cross multiply
    6,347.77x = 9,522.68 × 1,965.22
  4. Step 4: Simplify right side
    6,347.77x = 18,714,161.19
  5. Step 5: Solve for x
    x = 18,714,161.19/6,347.77
  6. Step 6: Final answer
    x = 2,948.15

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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.