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Finding the Fourth Proportional to 31,111.14, 46,666.74 and 7,737.57

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Solution

The fourth proportional to 31,111.14, 46,666.74 and 7,737.57 is: 11,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.14 : 46,666.74 = 7,737.57 : x
  2. Step 2: Convert to fraction form
    31,111.14/46,666.74 = 7,737.57/x
  3. Step 3: Cross multiply
    31,111.14x = 46,666.74 × 7,737.57
  4. Step 4: Simplify right side
    31,111.14x = 361,087,167.42
  5. Step 5: Solve for x
    x = 361,087,167.42/31,111.14
  6. Step 6: Final answer
    x = 11,606.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.