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Finding the Fourth Proportional to 14,922.60, 22,383.90 and 7,146.60

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Solution

The fourth proportional to 14,922.60, 22,383.90 and 7,146.60 is: 10,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.60 : 22,383.90 = 7,146.60 : x
  2. Step 2: Convert to fraction form
    14,922.60/22,383.90 = 7,146.60/x
  3. Step 3: Cross multiply
    14,922.60x = 22,383.90 × 7,146.60
  4. Step 4: Simplify right side
    14,922.60x = 159,968,779.74
  5. Step 5: Solve for x
    x = 159,968,779.74/14,922.60
  6. Step 6: Final answer
    x = 10,719.90

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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.