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Finding the Fourth Proportional to 6,509.40, 9,747.90 and 5,213.40

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Solution

The fourth proportional to 6,509.40, 9,747.90 and 5,213.40 is: 7,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.40 : 9,747.90 = 5,213.40 : x
  2. Step 2: Convert to fraction form
    6,509.40/9,747.90 = 5,213.40/x
  3. Step 3: Cross multiply
    6,509.40x = 9,747.90 × 5,213.40
  4. Step 4: Simplify right side
    6,509.40x = 50,819,701.86
  5. Step 5: Solve for x
    x = 50,819,701.86/6,509.40
  6. Step 6: Final answer
    x = 7,807.13

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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.