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Finding the Fourth Proportional to 5,300.22, 7,950.32 and 1,404.32

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Solution

The fourth proportional to 5,300.22, 7,950.32 and 1,404.32 is: 2,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.22 : 7,950.32 = 1,404.32 : x
  2. Step 2: Convert to fraction form
    5,300.22/7,950.32 = 1,404.32/x
  3. Step 3: Cross multiply
    5,300.22x = 7,950.32 × 1,404.32
  4. Step 4: Simplify right side
    5,300.22x = 11,164,793.38
  5. Step 5: Solve for x
    x = 11,164,793.38/5,300.22
  6. Step 6: Final answer
    x = 2,106.48

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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.