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Finding the Fourth Proportional to 6,699.15, 10,047.86 and 1,769.16

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Solution

The fourth proportional to 6,699.15, 10,047.86 and 1,769.16 is: 2,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.15 : 10,047.86 = 1,769.16 : x
  2. Step 2: Convert to fraction form
    6,699.15/10,047.86 = 1,769.16/x
  3. Step 3: Cross multiply
    6,699.15x = 10,047.86 × 1,769.16
  4. Step 4: Simplify right side
    6,699.15x = 17,776,212.91
  5. Step 5: Solve for x
    x = 17,776,212.91/6,699.15
  6. Step 6: Final answer
    x = 2,653.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.