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Finding the Fourth Proportional to 4,807.70, 7,206.15 and 2,466.80

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Solution

The fourth proportional to 4,807.70, 7,206.15 and 2,466.80 is: 3,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.70 : 7,206.15 = 2,466.80 : x
  2. Step 2: Convert to fraction form
    4,807.70/7,206.15 = 2,466.80/x
  3. Step 3: Cross multiply
    4,807.70x = 7,206.15 × 2,466.80
  4. Step 4: Simplify right side
    4,807.70x = 17,776,130.82
  5. Step 5: Solve for x
    x = 17,776,130.82/4,807.70
  6. Step 6: Final answer
    x = 3,697.43

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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.