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Finding the Fourth Proportional to 10,806.80, 14,918.16 and 7,969.28

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Solution

The fourth proportional to 10,806.80, 14,918.16 and 7,969.28 is: 11,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.80 : 14,918.16 = 7,969.28 : x
  2. Step 2: Convert to fraction form
    10,806.80/14,918.16 = 7,969.28/x
  3. Step 3: Cross multiply
    10,806.80x = 14,918.16 × 7,969.28
  4. Step 4: Simplify right side
    10,806.80x = 118,886,994.12
  5. Step 5: Solve for x
    x = 118,886,994.12/10,806.80
  6. Step 6: Final answer
    x = 11,001.13

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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.