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Finding the Fourth Proportional to 10,741.69, 14,820.48 and 6,965

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Solution

The fourth proportional to 10,741.69, 14,820.48 and 6,965 is: 9,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741.69 : 14,820.48 = 6,965 : x
  2. Step 2: Convert to fraction form
    10,741.69/14,820.48 = 6,965/x
  3. Step 3: Cross multiply
    10,741.69x = 14,820.48 × 6,965
  4. Step 4: Simplify right side
    10,741.69x = 103,224,643.20
  5. Step 5: Solve for x
    x = 103,224,643.20/10,741.69
  6. Step 6: Final answer
    x = 9,609.73

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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.