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Finding the Fourth Proportional to 7,810.92, 10,772.46 and 7,033.32

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Solution

The fourth proportional to 7,810.92, 10,772.46 and 7,033.32 is: 9,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.92 : 10,772.46 = 7,033.32 : x
  2. Step 2: Convert to fraction form
    7,810.92/10,772.46 = 7,033.32/x
  3. Step 3: Cross multiply
    7,810.92x = 10,772.46 × 7,033.32
  4. Step 4: Simplify right side
    7,810.92x = 75,766,158.37
  5. Step 5: Solve for x
    x = 75,766,158.37/7,810.92
  6. Step 6: Final answer
    x = 9,700.03

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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.