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Finding the Fourth Proportional to 5,709.70, 8,564.55 and 5,709.70

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Solution

The fourth proportional to 5,709.70, 8,564.55 and 5,709.70 is: 8,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.70 : 8,564.55 = 5,709.70 : x
  2. Step 2: Convert to fraction form
    5,709.70/8,564.55 = 5,709.70/x
  3. Step 3: Cross multiply
    5,709.70x = 8,564.55 × 5,709.70
  4. Step 4: Simplify right side
    5,709.70x = 48,901,011.14
  5. Step 5: Solve for x
    x = 48,901,011.14/5,709.70
  6. Step 6: Final answer
    x = 8,564.55

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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.