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Finding the Fourth Proportional to 9,761.00, 13,472.63 and 8,764.53

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Solution

The fourth proportional to 9,761.00, 13,472.63 and 8,764.53 is: 12,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.00 : 13,472.63 = 8,764.53 : x
  2. Step 2: Convert to fraction form
    9,761.00/13,472.63 = 8,764.53/x
  3. Step 3: Cross multiply
    9,761.00x = 13,472.63 × 8,764.53
  4. Step 4: Simplify right side
    9,761.00x = 118,081,225.99
  5. Step 5: Solve for x
    x = 118,081,225.99/9,761.00
  6. Step 6: Final answer
    x = 12,097.25

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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.