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Finding the Fourth Proportional to 9,697.60, 14,557.20 and 5,323.60

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Solution

The fourth proportional to 9,697.60, 14,557.20 and 5,323.60 is: 7,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.60 : 14,557.20 = 5,323.60 : x
  2. Step 2: Convert to fraction form
    9,697.60/14,557.20 = 5,323.60/x
  3. Step 3: Cross multiply
    9,697.60x = 14,557.20 × 5,323.60
  4. Step 4: Simplify right side
    9,697.60x = 77,496,709.92
  5. Step 5: Solve for x
    x = 77,496,709.92/9,697.60
  6. Step 6: Final answer
    x = 7,991.33

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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.