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Finding the Fourth Proportional to 7,807.42, 10,772.07 and 4,662.46

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Solution

The fourth proportional to 7,807.42, 10,772.07 and 4,662.46 is: 6,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.42 : 10,772.07 = 4,662.46 : x
  2. Step 2: Convert to fraction form
    7,807.42/10,772.07 = 4,662.46/x
  3. Step 3: Cross multiply
    7,807.42x = 10,772.07 × 4,662.46
  4. Step 4: Simplify right side
    7,807.42x = 50,224,345.49
  5. Step 5: Solve for x
    x = 50,224,345.49/7,807.42
  6. Step 6: Final answer
    x = 6,432.90

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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.