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Finding the Fourth Proportional to 6,509.57, 8,984.60 and 4,243.74

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Solution

The fourth proportional to 6,509.57, 8,984.60 and 4,243.74 is: 5,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.57 : 8,984.60 = 4,243.74 : x
  2. Step 2: Convert to fraction form
    6,509.57/8,984.60 = 4,243.74/x
  3. Step 3: Cross multiply
    6,509.57x = 8,984.60 × 4,243.74
  4. Step 4: Simplify right side
    6,509.57x = 38,128,306.40
  5. Step 5: Solve for x
    x = 38,128,306.40/6,509.57
  6. Step 6: Final answer
    x = 5,857.27

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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.