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Finding the Fourth Proportional to 9,586.70, 14,351.70 and 7,132.40

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Solution

The fourth proportional to 9,586.70, 14,351.70 and 7,132.40 is: 10,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.70 : 14,351.70 = 7,132.40 : x
  2. Step 2: Convert to fraction form
    9,586.70/14,351.70 = 7,132.40/x
  3. Step 3: Cross multiply
    9,586.70x = 14,351.70 × 7,132.40
  4. Step 4: Simplify right side
    9,586.70x = 102,362,065.08
  5. Step 5: Solve for x
    x = 102,362,065.08/9,586.70
  6. Step 6: Final answer
    x = 10,677.51

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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.