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Finding the Fourth Proportional to 10,922.04, 16,368.42 and 10,222.20

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Solution

The fourth proportional to 10,922.04, 16,368.42 and 10,222.20 is: 15,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.04 : 16,368.42 = 10,222.20 : x
  2. Step 2: Convert to fraction form
    10,922.04/16,368.42 = 10,222.20/x
  3. Step 3: Cross multiply
    10,922.04x = 16,368.42 × 10,222.20
  4. Step 4: Simplify right side
    10,922.04x = 167,321,262.92
  5. Step 5: Solve for x
    x = 167,321,262.92/10,922.04
  6. Step 6: Final answer
    x = 15,319.60

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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.