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Finding the Fourth Proportional to 7,047.68, 9,727.80 and 4,253.36

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Solution

The fourth proportional to 7,047.68, 9,727.80 and 4,253.36 is: 5,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.68 : 9,727.80 = 4,253.36 : x
  2. Step 2: Convert to fraction form
    7,047.68/9,727.80 = 4,253.36/x
  3. Step 3: Cross multiply
    7,047.68x = 9,727.80 × 4,253.36
  4. Step 4: Simplify right side
    7,047.68x = 41,375,835.41
  5. Step 5: Solve for x
    x = 41,375,835.41/7,047.68
  6. Step 6: Final answer
    x = 5,870.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.