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Finding the Fourth Proportional to 6,154.36, 9,223.86 and 3,077.24

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Solution

The fourth proportional to 6,154.36, 9,223.86 and 3,077.24 is: 4,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.36 : 9,223.86 = 3,077.24 : x
  2. Step 2: Convert to fraction form
    6,154.36/9,223.86 = 3,077.24/x
  3. Step 3: Cross multiply
    6,154.36x = 9,223.86 × 3,077.24
  4. Step 4: Simplify right side
    6,154.36x = 28,384,030.95
  5. Step 5: Solve for x
    x = 28,384,030.95/6,154.36
  6. Step 6: Final answer
    x = 4,612.02

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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.