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Finding the Fourth Proportional to 4,893.06, 7,341.11 and 1,430.31

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Solution

The fourth proportional to 4,893.06, 7,341.11 and 1,430.31 is: 2,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.06 : 7,341.11 = 1,430.31 : x
  2. Step 2: Convert to fraction form
    4,893.06/7,341.11 = 1,430.31/x
  3. Step 3: Cross multiply
    4,893.06x = 7,341.11 × 1,430.31
  4. Step 4: Simplify right side
    4,893.06x = 10,500,063.04
  5. Step 5: Solve for x
    x = 10,500,063.04/4,893.06
  6. Step 6: Final answer
    x = 2,145.91

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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.