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Finding the Fourth Proportional to 9,607.80, 14,411.70 and 2,682.30

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Solution

The fourth proportional to 9,607.80, 14,411.70 and 2,682.30 is: 4,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.80 : 14,411.70 = 2,682.30 : x
  2. Step 2: Convert to fraction form
    9,607.80/14,411.70 = 2,682.30/x
  3. Step 3: Cross multiply
    9,607.80x = 14,411.70 × 2,682.30
  4. Step 4: Simplify right side
    9,607.80x = 38,656,502.91
  5. Step 5: Solve for x
    x = 38,656,502.91/9,607.80
  6. Step 6: Final answer
    x = 4,023.45

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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.