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Finding the Fourth Proportional to 6,509.04, 9,768.44 and 4,047.48

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Solution

The fourth proportional to 6,509.04, 9,768.44 and 4,047.48 is: 6,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.04 : 9,768.44 = 4,047.48 : x
  2. Step 2: Convert to fraction form
    6,509.04/9,768.44 = 4,047.48/x
  3. Step 3: Cross multiply
    6,509.04x = 9,768.44 × 4,047.48
  4. Step 4: Simplify right side
    6,509.04x = 39,537,565.53
  5. Step 5: Solve for x
    x = 39,537,565.53/6,509.04
  6. Step 6: Final answer
    x = 6,074.25

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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.