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Finding the Fourth Proportional to 6,971.88, 10,457.82 and 2,354.88

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Solution

The fourth proportional to 6,971.88, 10,457.82 and 2,354.88 is: 3,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.88 : 10,457.82 = 2,354.88 : x
  2. Step 2: Convert to fraction form
    6,971.88/10,457.82 = 2,354.88/x
  3. Step 3: Cross multiply
    6,971.88x = 10,457.82 × 2,354.88
  4. Step 4: Simplify right side
    6,971.88x = 24,626,911.16
  5. Step 5: Solve for x
    x = 24,626,911.16/6,971.88
  6. Step 6: Final answer
    x = 3,532.32

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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.