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Finding the Fourth Proportional to 7,331.60, 10,975.80 and 4,869.20

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Solution

The fourth proportional to 7,331.60, 10,975.80 and 4,869.20 is: 7,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.60 : 10,975.80 = 4,869.20 : x
  2. Step 2: Convert to fraction form
    7,331.60/10,975.80 = 4,869.20/x
  3. Step 3: Cross multiply
    7,331.60x = 10,975.80 × 4,869.20
  4. Step 4: Simplify right side
    7,331.60x = 53,443,365.36
  5. Step 5: Solve for x
    x = 53,443,365.36/7,331.60
  6. Step 6: Final answer
    x = 7,289.45

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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.