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Finding the Fourth Proportional to 6,509.97, 9,762.93 and 2,349.43

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Solution

The fourth proportional to 6,509.97, 9,762.93 and 2,349.43 is: 3,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.97 : 9,762.93 = 2,349.43 : x
  2. Step 2: Convert to fraction form
    6,509.97/9,762.93 = 2,349.43/x
  3. Step 3: Cross multiply
    6,509.97x = 9,762.93 × 2,349.43
  4. Step 4: Simplify right side
    6,509.97x = 22,937,320.63
  5. Step 5: Solve for x
    x = 22,937,320.63/6,509.97
  6. Step 6: Final answer
    x = 3,523.41

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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.