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Finding the Fourth Proportional to 7,111.37, 9,814.14 and 4,717.14

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Solution

The fourth proportional to 7,111.37, 9,814.14 and 4,717.14 is: 6,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.37 : 9,814.14 = 4,717.14 : x
  2. Step 2: Convert to fraction form
    7,111.37/9,814.14 = 4,717.14/x
  3. Step 3: Cross multiply
    7,111.37x = 9,814.14 × 4,717.14
  4. Step 4: Simplify right side
    7,111.37x = 46,294,672.36
  5. Step 5: Solve for x
    x = 46,294,672.36/7,111.37
  6. Step 6: Final answer
    x = 6,509.96

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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.