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Finding the Fourth Proportional to 9,584.85, 14,376.05 and 7,123.26

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Solution

The fourth proportional to 9,584.85, 14,376.05 and 7,123.26 is: 10,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.85 : 14,376.05 = 7,123.26 : x
  2. Step 2: Convert to fraction form
    9,584.85/14,376.05 = 7,123.26/x
  3. Step 3: Cross multiply
    9,584.85x = 14,376.05 × 7,123.26
  4. Step 4: Simplify right side
    9,584.85x = 102,404,341.92
  5. Step 5: Solve for x
    x = 102,404,341.92/9,584.85
  6. Step 6: Final answer
    x = 10,683.98

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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.