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Finding the Fourth Proportional to 10,291.94, 14,207.78 and 6,894.80

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Solution

The fourth proportional to 10,291.94, 14,207.78 and 6,894.80 is: 9,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.94 : 14,207.78 = 6,894.80 : x
  2. Step 2: Convert to fraction form
    10,291.94/14,207.78 = 6,894.80/x
  3. Step 3: Cross multiply
    10,291.94x = 14,207.78 × 6,894.80
  4. Step 4: Simplify right side
    10,291.94x = 97,959,696.03
  5. Step 5: Solve for x
    x = 97,959,696.03/10,291.94
  6. Step 6: Final answer
    x = 9,518.10

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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.