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Finding the Fourth Proportional to 3,567.64, 5,351.08 and 970.84

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Solution

The fourth proportional to 3,567.64, 5,351.08 and 970.84 is: 1,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.64 : 5,351.08 = 970.84 : x
  2. Step 2: Convert to fraction form
    3,567.64/5,351.08 = 970.84/x
  3. Step 3: Cross multiply
    3,567.64x = 5,351.08 × 970.84
  4. Step 4: Simplify right side
    3,567.64x = 5,195,042.51
  5. Step 5: Solve for x
    x = 5,195,042.51/3,567.64
  6. Step 6: Final answer
    x = 1,456.16

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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.