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Finding the Fourth Proportional to 6,994.47, 9,653.66 and 4,010.33

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Solution

The fourth proportional to 6,994.47, 9,653.66 and 4,010.33 is: 5,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.47 : 9,653.66 = 4,010.33 : x
  2. Step 2: Convert to fraction form
    6,994.47/9,653.66 = 4,010.33/x
  3. Step 3: Cross multiply
    6,994.47x = 9,653.66 × 4,010.33
  4. Step 4: Simplify right side
    6,994.47x = 38,714,324.07
  5. Step 5: Solve for x
    x = 38,714,324.07/6,994.47
  6. Step 6: Final answer
    x = 5,534.99

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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.