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Finding the Fourth Proportional to 5,970.87, 8,956.31 and 1,588.34

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Solution

The fourth proportional to 5,970.87, 8,956.31 and 1,588.34 is: 2,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.87 : 8,956.31 = 1,588.34 : x
  2. Step 2: Convert to fraction form
    5,970.87/8,956.31 = 1,588.34/x
  3. Step 3: Cross multiply
    5,970.87x = 8,956.31 × 1,588.34
  4. Step 4: Simplify right side
    5,970.87x = 14,225,679.87
  5. Step 5: Solve for x
    x = 14,225,679.87/5,970.87
  6. Step 6: Final answer
    x = 2,382.51

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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.