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Finding the Fourth Proportional to 23,803.87, 35,710.80 and 7,165.12

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Solution

The fourth proportional to 23,803.87, 35,710.80 and 7,165.12 is: 10,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.87 : 35,710.80 = 7,165.12 : x
  2. Step 2: Convert to fraction form
    23,803.87/35,710.80 = 7,165.12/x
  3. Step 3: Cross multiply
    23,803.87x = 35,710.80 × 7,165.12
  4. Step 4: Simplify right side
    23,803.87x = 255,871,952.92
  5. Step 5: Solve for x
    x = 255,871,952.92/23,803.87
  6. Step 6: Final answer
    x = 10,749.18

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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.