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Finding the Fourth Proportional to 9,510.14, 13,127.48 and 5,733.44

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Solution

The fourth proportional to 9,510.14, 13,127.48 and 5,733.44 is: 7,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.14 : 13,127.48 = 5,733.44 : x
  2. Step 2: Convert to fraction form
    9,510.14/13,127.48 = 5,733.44/x
  3. Step 3: Cross multiply
    9,510.14x = 13,127.48 × 5,733.44
  4. Step 4: Simplify right side
    9,510.14x = 75,265,524.63
  5. Step 5: Solve for x
    x = 75,265,524.63/9,510.14
  6. Step 6: Final answer
    x = 7,914.24

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Double scale
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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.