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Finding the Fourth Proportional to 6,567.61, 9,064.01 and 4,049.18

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Solution

The fourth proportional to 6,567.61, 9,064.01 and 4,049.18 is: 5,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.61 : 9,064.01 = 4,049.18 : x
  2. Step 2: Convert to fraction form
    6,567.61/9,064.01 = 4,049.18/x
  3. Step 3: Cross multiply
    6,567.61x = 9,064.01 × 4,049.18
  4. Step 4: Simplify right side
    6,567.61x = 36,701,808.01
  5. Step 5: Solve for x
    x = 36,701,808.01/6,567.61
  6. Step 6: Final answer
    x = 5,588.31

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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.