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Finding the Fourth Proportional to 7,607.40, 11,411.10 and 2,135.40

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Solution

The fourth proportional to 7,607.40, 11,411.10 and 2,135.40 is: 3,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.40 : 11,411.10 = 2,135.40 : x
  2. Step 2: Convert to fraction form
    7,607.40/11,411.10 = 2,135.40/x
  3. Step 3: Cross multiply
    7,607.40x = 11,411.10 × 2,135.40
  4. Step 4: Simplify right side
    7,607.40x = 24,367,262.94
  5. Step 5: Solve for x
    x = 24,367,262.94/7,607.40
  6. Step 6: Final answer
    x = 3,203.10

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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.