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Finding the Fourth Proportional to 7,700.10, 11,542.10 and 4,364.20

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Solution

The fourth proportional to 7,700.10, 11,542.10 and 4,364.20 is: 6,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.10 : 11,542.10 = 4,364.20 : x
  2. Step 2: Convert to fraction form
    7,700.10/11,542.10 = 4,364.20/x
  3. Step 3: Cross multiply
    7,700.10x = 11,542.10 × 4,364.20
  4. Step 4: Simplify right side
    7,700.10x = 50,372,032.82
  5. Step 5: Solve for x
    x = 50,372,032.82/7,700.10
  6. Step 6: Final answer
    x = 6,541.74

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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.