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Finding the Fourth Proportional to 7,703.04, 11,596.80 and 5,667.84

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Solution

The fourth proportional to 7,703.04, 11,596.80 and 5,667.84 is: 8,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.04 : 11,596.80 = 5,667.84 : x
  2. Step 2: Convert to fraction form
    7,703.04/11,596.80 = 5,667.84/x
  3. Step 3: Cross multiply
    7,703.04x = 11,596.80 × 5,667.84
  4. Step 4: Simplify right side
    7,703.04x = 65,728,806.91
  5. Step 5: Solve for x
    x = 65,728,806.91/7,703.04
  6. Step 6: Final answer
    x = 8,532.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.