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Finding the Fourth Proportional to 6,973.77, 9,619.79 and 4,177.65

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Solution

The fourth proportional to 6,973.77, 9,619.79 and 4,177.65 is: 5,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.77 : 9,619.79 = 4,177.65 : x
  2. Step 2: Convert to fraction form
    6,973.77/9,619.79 = 4,177.65/x
  3. Step 3: Cross multiply
    6,973.77x = 9,619.79 × 4,177.65
  4. Step 4: Simplify right side
    6,973.77x = 40,188,094.81
  5. Step 5: Solve for x
    x = 40,188,094.81/6,973.77
  6. Step 6: Final answer
    x = 5,762.75

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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.