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Finding the Fourth Proportional to 5,563.81, 7,681.07 and 4,427.24

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Solution

The fourth proportional to 5,563.81, 7,681.07 and 4,427.24 is: 6,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.81 : 7,681.07 = 4,427.24 : x
  2. Step 2: Convert to fraction form
    5,563.81/7,681.07 = 4,427.24/x
  3. Step 3: Cross multiply
    5,563.81x = 7,681.07 × 4,427.24
  4. Step 4: Simplify right side
    5,563.81x = 34,005,918.21
  5. Step 5: Solve for x
    x = 34,005,918.21/5,563.81
  6. Step 6: Final answer
    x = 6,111.99

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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.