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Finding the Fourth Proportional to 4,756.47, 6,548.09 and 4,090.65

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Solution

The fourth proportional to 4,756.47, 6,548.09 and 4,090.65 is: 5,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.47 : 6,548.09 = 4,090.65 : x
  2. Step 2: Convert to fraction form
    4,756.47/6,548.09 = 4,090.65/x
  3. Step 3: Cross multiply
    4,756.47x = 6,548.09 × 4,090.65
  4. Step 4: Simplify right side
    4,756.47x = 26,785,923.91
  5. Step 5: Solve for x
    x = 26,785,923.91/4,756.47
  6. Step 6: Final answer
    x = 5,631.47

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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.