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Finding the Fourth Proportional to 5,973.12, 8,223.84 and 5,186.88

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Solution

The fourth proportional to 5,973.12, 8,223.84 and 5,186.88 is: 7,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.12 : 8,223.84 = 5,186.88 : x
  2. Step 2: Convert to fraction form
    5,973.12/8,223.84 = 5,186.88/x
  3. Step 3: Cross multiply
    5,973.12x = 8,223.84 × 5,186.88
  4. Step 4: Simplify right side
    5,973.12x = 42,656,071.22
  5. Step 5: Solve for x
    x = 42,656,071.22/5,973.12
  6. Step 6: Final answer
    x = 7,141.34

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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.