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Finding the Fourth Proportional to 9,123.60, 13,690.80 and 6,012.60

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Solution

The fourth proportional to 9,123.60, 13,690.80 and 6,012.60 is: 9,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.60 : 13,690.80 = 6,012.60 : x
  2. Step 2: Convert to fraction form
    9,123.60/13,690.80 = 6,012.60/x
  3. Step 3: Cross multiply
    9,123.60x = 13,690.80 × 6,012.60
  4. Step 4: Simplify right side
    9,123.60x = 82,317,304.08
  5. Step 5: Solve for x
    x = 82,317,304.08/9,123.60
  6. Step 6: Final answer
    x = 9,022.46

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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.