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Finding the Fourth Proportional to 9,916.67, 13,684.47 and 5,440.34

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Solution

The fourth proportional to 9,916.67, 13,684.47 and 5,440.34 is: 7,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.67 : 13,684.47 = 5,440.34 : x
  2. Step 2: Convert to fraction form
    9,916.67/13,684.47 = 5,440.34/x
  3. Step 3: Cross multiply
    9,916.67x = 13,684.47 × 5,440.34
  4. Step 4: Simplify right side
    9,916.67x = 74,448,169.52
  5. Step 5: Solve for x
    x = 74,448,169.52/9,916.67
  6. Step 6: Final answer
    x = 7,507.38

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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.