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Finding the Fourth Proportional to 9,202.79, 12,684.69 and 6,510.53

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Solution

The fourth proportional to 9,202.79, 12,684.69 and 6,510.53 is: 8,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.79 : 12,684.69 = 6,510.53 : x
  2. Step 2: Convert to fraction form
    9,202.79/12,684.69 = 6,510.53/x
  3. Step 3: Cross multiply
    9,202.79x = 12,684.69 × 6,510.53
  4. Step 4: Simplify right side
    9,202.79x = 82,584,086.50
  5. Step 5: Solve for x
    x = 82,584,086.50/9,202.79
  6. Step 6: Final answer
    x = 8,973.81

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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.