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Finding the Fourth Proportional to 5,989.74, 8,931.84 and 5,574.21

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Solution

The fourth proportional to 5,989.74, 8,931.84 and 5,574.21 is: 8,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.74 : 8,931.84 = 5,574.21 : x
  2. Step 2: Convert to fraction form
    5,989.74/8,931.84 = 5,574.21/x
  3. Step 3: Cross multiply
    5,989.74x = 8,931.84 × 5,574.21
  4. Step 4: Simplify right side
    5,989.74x = 49,787,951.85
  5. Step 5: Solve for x
    x = 49,787,951.85/5,989.74
  6. Step 6: Final answer
    x = 8,312.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.