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Finding the Fourth Proportional to 5,923.32, 8,882 and 1,973.18

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Solution

The fourth proportional to 5,923.32, 8,882 and 1,973.18 is: 2,958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.32 : 8,882 = 1,973.18 : x
  2. Step 2: Convert to fraction form
    5,923.32/8,882 = 1,973.18/x
  3. Step 3: Cross multiply
    5,923.32x = 8,882 × 1,973.18
  4. Step 4: Simplify right side
    5,923.32x = 17,525,784.76
  5. Step 5: Solve for x
    x = 17,525,784.76/5,923.32
  6. Step 6: Final answer
    x = 2,958.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.