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Finding the Fourth Proportional to 7,802.60, 10,769.70 and 4,660.20

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Solution

The fourth proportional to 7,802.60, 10,769.70 and 4,660.20 is: 6,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.60 : 10,769.70 = 4,660.20 : x
  2. Step 2: Convert to fraction form
    7,802.60/10,769.70 = 4,660.20/x
  3. Step 3: Cross multiply
    7,802.60x = 10,769.70 × 4,660.20
  4. Step 4: Simplify right side
    7,802.60x = 50,188,955.94
  5. Step 5: Solve for x
    x = 50,188,955.94/7,802.60
  6. Step 6: Final answer
    x = 6,432.34

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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.