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Finding the Fourth Proportional to 5,666.96, 8,500.80 and 1,506.90

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Solution

The fourth proportional to 5,666.96, 8,500.80 and 1,506.90 is: 2,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.96 : 8,500.80 = 1,506.90 : x
  2. Step 2: Convert to fraction form
    5,666.96/8,500.80 = 1,506.90/x
  3. Step 3: Cross multiply
    5,666.96x = 8,500.80 × 1,506.90
  4. Step 4: Simplify right side
    5,666.96x = 12,809,855.52
  5. Step 5: Solve for x
    x = 12,809,855.52/5,666.96
  6. Step 6: Final answer
    x = 2,260.45

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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.