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Finding the Fourth Proportional to 9,584.60, 14,375.68 and 7,123.01

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Solution

The fourth proportional to 9,584.60, 14,375.68 and 7,123.01 is: 10,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.60 : 14,375.68 = 7,123.01 : x
  2. Step 2: Convert to fraction form
    9,584.60/14,375.68 = 7,123.01/x
  3. Step 3: Cross multiply
    9,584.60x = 14,375.68 × 7,123.01
  4. Step 4: Simplify right side
    9,584.60x = 102,398,022.71
  5. Step 5: Solve for x
    x = 102,398,022.71/9,584.60
  6. Step 6: Final answer
    x = 10,683.60

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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.