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Finding the Fourth Proportional to 6,804.60, 10,209.30 and 6,564.60

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Solution

The fourth proportional to 6,804.60, 10,209.30 and 6,564.60 is: 9,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.60 : 10,209.30 = 6,564.60 : x
  2. Step 2: Convert to fraction form
    6,804.60/10,209.30 = 6,564.60/x
  3. Step 3: Cross multiply
    6,804.60x = 10,209.30 × 6,564.60
  4. Step 4: Simplify right side
    6,804.60x = 67,019,970.78
  5. Step 5: Solve for x
    x = 67,019,970.78/6,804.60
  6. Step 6: Final answer
    x = 9,849.22

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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.