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Finding the Fourth Proportional to 13,769.19, 19,001.79 and 7,802.12

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Solution

The fourth proportional to 13,769.19, 19,001.79 and 7,802.12 is: 10,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.19 : 19,001.79 = 7,802.12 : x
  2. Step 2: Convert to fraction form
    13,769.19/19,001.79 = 7,802.12/x
  3. Step 3: Cross multiply
    13,769.19x = 19,001.79 × 7,802.12
  4. Step 4: Simplify right side
    13,769.19x = 148,254,293.30
  5. Step 5: Solve for x
    x = 148,254,293.30/13,769.19
  6. Step 6: Final answer
    x = 10,767.10

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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.