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Finding the Fourth Proportional to 9,115.60, 13,673.40 and 7,803.40

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Solution

The fourth proportional to 9,115.60, 13,673.40 and 7,803.40 is: 11,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.60 : 13,673.40 = 7,803.40 : x
  2. Step 2: Convert to fraction form
    9,115.60/13,673.40 = 7,803.40/x
  3. Step 3: Cross multiply
    9,115.60x = 13,673.40 × 7,803.40
  4. Step 4: Simplify right side
    9,115.60x = 106,699,009.56
  5. Step 5: Solve for x
    x = 106,699,009.56/9,115.60
  6. Step 6: Final answer
    x = 11,705.10

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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.