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Finding the Fourth Proportional to 5,689.63, 8,533.74 and 1,529.98

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Solution

The fourth proportional to 5,689.63, 8,533.74 and 1,529.98 is: 2,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.63 : 8,533.74 = 1,529.98 : x
  2. Step 2: Convert to fraction form
    5,689.63/8,533.74 = 1,529.98/x
  3. Step 3: Cross multiply
    5,689.63x = 8,533.74 × 1,529.98
  4. Step 4: Simplify right side
    5,689.63x = 13,056,451.53
  5. Step 5: Solve for x
    x = 13,056,451.53/5,689.63
  6. Step 6: Final answer
    x = 2,294.78

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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.