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Finding the Fourth Proportional to 9,123.60, 13,685.40 and 7,811.40

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Solution

The fourth proportional to 9,123.60, 13,685.40 and 7,811.40 is: 11,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.60 : 13,685.40 = 7,811.40 : x
  2. Step 2: Convert to fraction form
    9,123.60/13,685.40 = 7,811.40/x
  3. Step 3: Cross multiply
    9,123.60x = 13,685.40 × 7,811.40
  4. Step 4: Simplify right side
    9,123.60x = 106,902,133.56
  5. Step 5: Solve for x
    x = 106,902,133.56/9,123.60
  6. Step 6: Final answer
    x = 11,717.10

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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.