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Finding the Fourth Proportional to 31,077.35, 46,616.00 and 7,703.79

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Solution

The fourth proportional to 31,077.35, 46,616.00 and 7,703.79 is: 11,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077.35 : 46,616.00 = 7,703.79 : x
  2. Step 2: Convert to fraction form
    31,077.35/46,616.00 = 7,703.79/x
  3. Step 3: Cross multiply
    31,077.35x = 46,616.00 × 7,703.79
  4. Step 4: Simplify right side
    31,077.35x = 359,119,893.90
  5. Step 5: Solve for x
    x = 359,119,893.90/31,077.35
  6. Step 6: Final answer
    x = 11,555.68

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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.