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Finding the Fourth Proportional to 7,185.67, 9,913.47 and 5,301.74

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Solution

The fourth proportional to 7,185.67, 9,913.47 and 5,301.74 is: 7,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.67 : 9,913.47 = 5,301.74 : x
  2. Step 2: Convert to fraction form
    7,185.67/9,913.47 = 5,301.74/x
  3. Step 3: Cross multiply
    7,185.67x = 9,913.47 × 5,301.74
  4. Step 4: Simplify right side
    7,185.67x = 52,558,645.34
  5. Step 5: Solve for x
    x = 52,558,645.34/7,185.67
  6. Step 6: Final answer
    x = 7,314.37

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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.