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Finding the Fourth Proportional to 9,699.75, 14,552.60 and 6,741.23

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Solution

The fourth proportional to 9,699.75, 14,552.60 and 6,741.23 is: 10,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.75 : 14,552.60 = 6,741.23 : x
  2. Step 2: Convert to fraction form
    9,699.75/14,552.60 = 6,741.23/x
  3. Step 3: Cross multiply
    9,699.75x = 14,552.60 × 6,741.23
  4. Step 4: Simplify right side
    9,699.75x = 98,102,317.23
  5. Step 5: Solve for x
    x = 98,102,317.23/9,699.75
  6. Step 6: Final answer
    x = 10,113.90

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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.