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Finding the Fourth Proportional to 31,174.73, 46,762.09 and 7,801.16

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Solution

The fourth proportional to 31,174.73, 46,762.09 and 7,801.16 is: 11,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.73 : 46,762.09 = 7,801.16 : x
  2. Step 2: Convert to fraction form
    31,174.73/46,762.09 = 7,801.16/x
  3. Step 3: Cross multiply
    31,174.73x = 46,762.09 × 7,801.16
  4. Step 4: Simplify right side
    31,174.73x = 364,798,507.02
  5. Step 5: Solve for x
    x = 364,798,507.02/31,174.73
  6. Step 6: Final answer
    x = 11,701.74

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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.