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Finding the Fourth Proportional to 6,498.63, 8,968.11 and 3,514.47

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Solution

The fourth proportional to 6,498.63, 8,968.11 and 3,514.47 is: 4,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.63 : 8,968.11 = 3,514.47 : x
  2. Step 2: Convert to fraction form
    6,498.63/8,968.11 = 3,514.47/x
  3. Step 3: Cross multiply
    6,498.63x = 8,968.11 × 3,514.47
  4. Step 4: Simplify right side
    6,498.63x = 31,518,126.51
  5. Step 5: Solve for x
    x = 31,518,126.51/6,498.63
  6. Step 6: Final answer
    x = 4,849.96

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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.