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Finding the Fourth Proportional to 7,754.29, 10,699.76 and 4,769.24

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Solution

The fourth proportional to 7,754.29, 10,699.76 and 4,769.24 is: 6,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.29 : 10,699.76 = 4,769.24 : x
  2. Step 2: Convert to fraction form
    7,754.29/10,699.76 = 4,769.24/x
  3. Step 3: Cross multiply
    7,754.29x = 10,699.76 × 4,769.24
  4. Step 4: Simplify right side
    7,754.29x = 51,029,681.81
  5. Step 5: Solve for x
    x = 51,029,681.81/7,754.29
  6. Step 6: Final answer
    x = 6,580.83

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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.