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Finding the Fourth Proportional to 6,652.40, 9,184.32 and 5,914.40

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Solution

The fourth proportional to 6,652.40, 9,184.32 and 5,914.40 is: 8,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.40 : 9,184.32 = 5,914.40 : x
  2. Step 2: Convert to fraction form
    6,652.40/9,184.32 = 5,914.40/x
  3. Step 3: Cross multiply
    6,652.40x = 9,184.32 × 5,914.40
  4. Step 4: Simplify right side
    6,652.40x = 54,319,742.21
  5. Step 5: Solve for x
    x = 54,319,742.21/6,652.40
  6. Step 6: Final answer
    x = 8,165.44

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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.