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Finding the Fourth Proportional to 5,969.97, 8,955.63 and 1,587.60

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Solution

The fourth proportional to 5,969.97, 8,955.63 and 1,587.60 is: 2,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.97 : 8,955.63 = 1,587.60 : x
  2. Step 2: Convert to fraction form
    5,969.97/8,955.63 = 1,587.60/x
  3. Step 3: Cross multiply
    5,969.97x = 8,955.63 × 1,587.60
  4. Step 4: Simplify right side
    5,969.97x = 14,217,958.19
  5. Step 5: Solve for x
    x = 14,217,958.19/5,969.97
  6. Step 6: Final answer
    x = 2,381.58

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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.