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Finding the Fourth Proportional to 6,572.64, 9,858.84 and 1,642.22

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Solution

The fourth proportional to 6,572.64, 9,858.84 and 1,642.22 is: 2,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.64 : 9,858.84 = 1,642.22 : x
  2. Step 2: Convert to fraction form
    6,572.64/9,858.84 = 1,642.22/x
  3. Step 3: Cross multiply
    6,572.64x = 9,858.84 × 1,642.22
  4. Step 4: Simplify right side
    6,572.64x = 16,190,384.22
  5. Step 5: Solve for x
    x = 16,190,384.22/6,572.64
  6. Step 6: Final answer
    x = 2,463.30

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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.