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Finding the Fourth Proportional to 7,798.88, 10,769.68 and 5,009.28

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Solution

The fourth proportional to 7,798.88, 10,769.68 and 5,009.28 is: 6,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.88 : 10,769.68 = 5,009.28 : x
  2. Step 2: Convert to fraction form
    7,798.88/10,769.68 = 5,009.28/x
  3. Step 3: Cross multiply
    7,798.88x = 10,769.68 × 5,009.28
  4. Step 4: Simplify right side
    7,798.88x = 53,948,342.63
  5. Step 5: Solve for x
    x = 53,948,342.63/7,798.88
  6. Step 6: Final answer
    x = 6,917.45

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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.