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Finding the Fourth Proportional to 7,571.64, 11,407.94 and 6,973.86

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Solution

The fourth proportional to 7,571.64, 11,407.94 and 6,973.86 is: 10,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.64 : 11,407.94 = 6,973.86 : x
  2. Step 2: Convert to fraction form
    7,571.64/11,407.94 = 6,973.86/x
  3. Step 3: Cross multiply
    7,571.64x = 11,407.94 × 6,973.86
  4. Step 4: Simplify right side
    7,571.64x = 79,557,410.51
  5. Step 5: Solve for x
    x = 79,557,410.51/7,571.64
  6. Step 6: Final answer
    x = 10,507.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.