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Finding the Fourth Proportional to 14,930.92, 20,598.46 and 9,263.76

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Solution

The fourth proportional to 14,930.92, 20,598.46 and 9,263.76 is: 12,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.92 : 20,598.46 = 9,263.76 : x
  2. Step 2: Convert to fraction form
    14,930.92/20,598.46 = 9,263.76/x
  3. Step 3: Cross multiply
    14,930.92x = 20,598.46 × 9,263.76
  4. Step 4: Simplify right side
    14,930.92x = 190,819,189.81
  5. Step 5: Solve for x
    x = 190,819,189.81/14,930.92
  6. Step 6: Final answer
    x = 12,780.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.