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Finding the Fourth Proportional to 6,296.22, 9,437.00 and 5,567.22

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Solution

The fourth proportional to 6,296.22, 9,437.00 and 5,567.22 is: 8,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.22 : 9,437.00 = 5,567.22 : x
  2. Step 2: Convert to fraction form
    6,296.22/9,437.00 = 5,567.22/x
  3. Step 3: Cross multiply
    6,296.22x = 9,437.00 × 5,567.22
  4. Step 4: Simplify right side
    6,296.22x = 52,537,827.30
  5. Step 5: Solve for x
    x = 52,537,827.30/6,296.22
  6. Step 6: Final answer
    x = 8,344.34

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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.