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Finding the Fourth Proportional to 6,569.68, 9,840.05 and 5,431.03

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Solution

The fourth proportional to 6,569.68, 9,840.05 and 5,431.03 is: 8,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.68 : 9,840.05 = 5,431.03 : x
  2. Step 2: Convert to fraction form
    6,569.68/9,840.05 = 5,431.03/x
  3. Step 3: Cross multiply
    6,569.68x = 9,840.05 × 5,431.03
  4. Step 4: Simplify right side
    6,569.68x = 53,441,579.60
  5. Step 5: Solve for x
    x = 53,441,579.60/6,569.68
  6. Step 6: Final answer
    x = 8,134.58

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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.