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Finding the Fourth Proportional to 5,967.95, 8,952.08 and 1,585.41

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Solution

The fourth proportional to 5,967.95, 8,952.08 and 1,585.41 is: 2,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.95 : 8,952.08 = 1,585.41 : x
  2. Step 2: Convert to fraction form
    5,967.95/8,952.08 = 1,585.41/x
  3. Step 3: Cross multiply
    5,967.95x = 8,952.08 × 1,585.41
  4. Step 4: Simplify right side
    5,967.95x = 14,192,709.23
  5. Step 5: Solve for x
    x = 14,192,709.23/5,967.95
  6. Step 6: Final answer
    x = 2,378.16

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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.