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Finding the Fourth Proportional to 7,804, 10,769.47 and 4,267.23

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Solution

The fourth proportional to 7,804, 10,769.47 and 4,267.23 is: 5,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804 : 10,769.47 = 4,267.23 : x
  2. Step 2: Convert to fraction form
    7,804/10,769.47 = 4,267.23/x
  3. Step 3: Cross multiply
    7,804x = 10,769.47 × 4,267.23
  4. Step 4: Simplify right side
    7,804x = 45,955,805.47
  5. Step 5: Solve for x
    x = 45,955,805.47/7,804
  6. Step 6: Final answer
    x = 5,888.75

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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.