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Finding the Fourth Proportional to 8,564.55, 12,007.65 and 8,564.55

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Solution

The fourth proportional to 8,564.55, 12,007.65 and 8,564.55 is: 12,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.55 : 12,007.65 = 8,564.55 : x
  2. Step 2: Convert to fraction form
    8,564.55/12,007.65 = 8,564.55/x
  3. Step 3: Cross multiply
    8,564.55x = 12,007.65 × 8,564.55
  4. Step 4: Simplify right side
    8,564.55x = 102,840,118.81
  5. Step 5: Solve for x
    x = 102,840,118.81/8,564.55
  6. Step 6: Final answer
    x = 12,007.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.