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Finding the Fourth Proportional to 6,994.36, 9,653.16 and 6,403.84

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Solution

The fourth proportional to 6,994.36, 9,653.16 and 6,403.84 is: 8,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.36 : 9,653.16 = 6,403.84 : x
  2. Step 2: Convert to fraction form
    6,994.36/9,653.16 = 6,403.84/x
  3. Step 3: Cross multiply
    6,994.36x = 9,653.16 × 6,403.84
  4. Step 4: Simplify right side
    6,994.36x = 61,817,292.13
  5. Step 5: Solve for x
    x = 61,817,292.13/6,994.36
  6. Step 6: Final answer
    x = 8,838.16

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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.