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Finding the Fourth Proportional to 6,681.60, 10,022.16 and 2,302.08

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Solution

The fourth proportional to 6,681.60, 10,022.16 and 2,302.08 is: 3,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.60 : 10,022.16 = 2,302.08 : x
  2. Step 2: Convert to fraction form
    6,681.60/10,022.16 = 2,302.08/x
  3. Step 3: Cross multiply
    6,681.60x = 10,022.16 × 2,302.08
  4. Step 4: Simplify right side
    6,681.60x = 23,071,814.09
  5. Step 5: Solve for x
    x = 23,071,814.09/6,681.60
  6. Step 6: Final answer
    x = 3,453.04

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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.