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Finding the Fourth Proportional to 7,289.92, 10,923.68 and 4,946.88

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Solution

The fourth proportional to 7,289.92, 10,923.68 and 4,946.88 is: 7,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.92 : 10,923.68 = 4,946.88 : x
  2. Step 2: Convert to fraction form
    7,289.92/10,923.68 = 4,946.88/x
  3. Step 3: Cross multiply
    7,289.92x = 10,923.68 × 4,946.88
  4. Step 4: Simplify right side
    7,289.92x = 54,038,134.12
  5. Step 5: Solve for x
    x = 54,038,134.12/7,289.92
  6. Step 6: Final answer
    x = 7,412.72

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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.