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Finding the Fourth Proportional to 4,645.08, 6,966.54 and 1,567.08

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Solution

The fourth proportional to 4,645.08, 6,966.54 and 1,567.08 is: 2,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.08 : 6,966.54 = 1,567.08 : x
  2. Step 2: Convert to fraction form
    4,645.08/6,966.54 = 1,567.08/x
  3. Step 3: Cross multiply
    4,645.08x = 6,966.54 × 1,567.08
  4. Step 4: Simplify right side
    4,645.08x = 10,917,125.50
  5. Step 5: Solve for x
    x = 10,917,125.50/4,645.08
  6. Step 6: Final answer
    x = 2,350.26

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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.