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Finding the Fourth Proportional to 7,185.74, 9,913.50 and 5,301.86

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Solution

The fourth proportional to 7,185.74, 9,913.50 and 5,301.86 is: 7,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.74 : 9,913.50 = 5,301.86 : x
  2. Step 2: Convert to fraction form
    7,185.74/9,913.50 = 5,301.86/x
  3. Step 3: Cross multiply
    7,185.74x = 9,913.50 × 5,301.86
  4. Step 4: Simplify right side
    7,185.74x = 52,559,989.11
  5. Step 5: Solve for x
    x = 52,559,989.11/7,185.74
  6. Step 6: Final answer
    x = 7,314.49

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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.