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Finding the Fourth Proportional to 31,013.76, 46,520.64 and 7,640.16

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Solution

The fourth proportional to 31,013.76, 46,520.64 and 7,640.16 is: 11,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013.76 : 46,520.64 = 7,640.16 : x
  2. Step 2: Convert to fraction form
    31,013.76/46,520.64 = 7,640.16/x
  3. Step 3: Cross multiply
    31,013.76x = 46,520.64 × 7,640.16
  4. Step 4: Simplify right side
    31,013.76x = 355,425,132.90
  5. Step 5: Solve for x
    x = 355,425,132.90/31,013.76
  6. Step 6: Final answer
    x = 11,460.24

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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.