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Finding the Fourth Proportional to 5,709, 8,567.10 and 2,246.16

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Solution

The fourth proportional to 5,709, 8,567.10 and 2,246.16 is: 3,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709 : 8,567.10 = 2,246.16 : x
  2. Step 2: Convert to fraction form
    5,709/8,567.10 = 2,246.16/x
  3. Step 3: Cross multiply
    5,709x = 8,567.10 × 2,246.16
  4. Step 4: Simplify right side
    5,709x = 19,243,077.34
  5. Step 5: Solve for x
    x = 19,243,077.34/5,709
  6. Step 6: Final answer
    x = 3,370.66

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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.