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Finding the Fourth Proportional to 8,723.42, 12,070 and 7,606.68

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Solution

The fourth proportional to 8,723.42, 12,070 and 7,606.68 is: 10,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.42 : 12,070 = 7,606.68 : x
  2. Step 2: Convert to fraction form
    8,723.42/12,070 = 7,606.68/x
  3. Step 3: Cross multiply
    8,723.42x = 12,070 × 7,606.68
  4. Step 4: Simplify right side
    8,723.42x = 91,812,627.60
  5. Step 5: Solve for x
    x = 91,812,627.60/8,723.42
  6. Step 6: Final answer
    x = 10,524.84

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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.