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Finding the Fourth Proportional to 22,992.04, 34,495 and 8,202.10

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Solution

The fourth proportional to 22,992.04, 34,495 and 8,202.10 is: 12,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.04 : 34,495 = 8,202.10 : x
  2. Step 2: Convert to fraction form
    22,992.04/34,495 = 8,202.10/x
  3. Step 3: Cross multiply
    22,992.04x = 34,495 × 8,202.10
  4. Step 4: Simplify right side
    22,992.04x = 282,931,439.50
  5. Step 5: Solve for x
    x = 282,931,439.50/22,992.04
  6. Step 6: Final answer
    x = 12,305.63

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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.