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Finding the Fourth Proportional to 6,945.04, 9,576.51 and 4,424.32

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Solution

The fourth proportional to 6,945.04, 9,576.51 and 4,424.32 is: 6,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.04 : 9,576.51 = 4,424.32 : x
  2. Step 2: Convert to fraction form
    6,945.04/9,576.51 = 4,424.32/x
  3. Step 3: Cross multiply
    6,945.04x = 9,576.51 × 4,424.32
  4. Step 4: Simplify right side
    6,945.04x = 42,369,496.84
  5. Step 5: Solve for x
    x = 42,369,496.84/6,945.04
  6. Step 6: Final answer
    x = 6,100.69

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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.