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Finding the Fourth Proportional to 6,161.64, 8,502.08 and 3,509.10

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Solution

The fourth proportional to 6,161.64, 8,502.08 and 3,509.10 is: 4,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.64 : 8,502.08 = 3,509.10 : x
  2. Step 2: Convert to fraction form
    6,161.64/8,502.08 = 3,509.10/x
  3. Step 3: Cross multiply
    6,161.64x = 8,502.08 × 3,509.10
  4. Step 4: Simplify right side
    6,161.64x = 29,834,648.93
  5. Step 5: Solve for x
    x = 29,834,648.93/6,161.64
  6. Step 6: Final answer
    x = 4,842.00

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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.