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Finding the Fourth Proportional to 7,804.13, 10,769.74 and 5,009.63

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Solution

The fourth proportional to 7,804.13, 10,769.74 and 5,009.63 is: 6,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.13 : 10,769.74 = 5,009.63 : x
  2. Step 2: Convert to fraction form
    7,804.13/10,769.74 = 5,009.63/x
  3. Step 3: Cross multiply
    7,804.13x = 10,769.74 × 5,009.63
  4. Step 4: Simplify right side
    7,804.13x = 53,952,346.22
  5. Step 5: Solve for x
    x = 53,952,346.22/7,804.13
  6. Step 6: Final answer
    x = 6,913.31

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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.