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Finding the Fourth Proportional to 9,708.80, 14,534.40 and 5,820.80

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Solution

The fourth proportional to 9,708.80, 14,534.40 and 5,820.80 is: 8,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.80 : 14,534.40 = 5,820.80 : x
  2. Step 2: Convert to fraction form
    9,708.80/14,534.40 = 5,820.80/x
  3. Step 3: Cross multiply
    9,708.80x = 14,534.40 × 5,820.80
  4. Step 4: Simplify right side
    9,708.80x = 84,601,835.52
  5. Step 5: Solve for x
    x = 84,601,835.52/9,708.80
  6. Step 6: Final answer
    x = 8,713.93

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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.