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Finding the Fourth Proportional to 6,514.47, 9,735.94 and 4,763.16

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Solution

The fourth proportional to 6,514.47, 9,735.94 and 4,763.16 is: 7,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.47 : 9,735.94 = 4,763.16 : x
  2. Step 2: Convert to fraction form
    6,514.47/9,735.94 = 4,763.16/x
  3. Step 3: Cross multiply
    6,514.47x = 9,735.94 × 4,763.16
  4. Step 4: Simplify right side
    6,514.47x = 46,373,816.15
  5. Step 5: Solve for x
    x = 46,373,816.15/6,514.47
  6. Step 6: Final answer
    x = 7,118.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.