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Finding the Fourth Proportional to 6,564.50, 9,063.11 and 4,210.75

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Solution

The fourth proportional to 6,564.50, 9,063.11 and 4,210.75 is: 5,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.50 : 9,063.11 = 4,210.75 : x
  2. Step 2: Convert to fraction form
    6,564.50/9,063.11 = 4,210.75/x
  3. Step 3: Cross multiply
    6,564.50x = 9,063.11 × 4,210.75
  4. Step 4: Simplify right side
    6,564.50x = 38,162,490.43
  5. Step 5: Solve for x
    x = 38,162,490.43/6,564.50
  6. Step 6: Final answer
    x = 5,813.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.