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Finding the Fourth Proportional to 6,266.90, 9,384.15 and 4,960.10

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Solution

The fourth proportional to 6,266.90, 9,384.15 and 4,960.10 is: 7,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.90 : 9,384.15 = 4,960.10 : x
  2. Step 2: Convert to fraction form
    6,266.90/9,384.15 = 4,960.10/x
  3. Step 3: Cross multiply
    6,266.90x = 9,384.15 × 4,960.10
  4. Step 4: Simplify right side
    6,266.90x = 46,546,322.42
  5. Step 5: Solve for x
    x = 46,546,322.42/6,266.90
  6. Step 6: Final answer
    x = 7,427.33

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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.