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Finding the Fourth Proportional to 7,602.84, 11,410.30 and 3,443.15

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Solution

The fourth proportional to 7,602.84, 11,410.30 and 3,443.15 is: 5,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.84 : 11,410.30 = 3,443.15 : x
  2. Step 2: Convert to fraction form
    7,602.84/11,410.30 = 3,443.15/x
  3. Step 3: Cross multiply
    7,602.84x = 11,410.30 × 3,443.15
  4. Step 4: Simplify right side
    7,602.84x = 39,287,374.45
  5. Step 5: Solve for x
    x = 39,287,374.45/7,602.84
  6. Step 6: Final answer
    x = 5,167.46

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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.