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Finding the Fourth Proportional to 9,262.95, 12,782.79 and 5,013.93

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Solution

The fourth proportional to 9,262.95, 12,782.79 and 5,013.93 is: 6,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.95 : 12,782.79 = 5,013.93 : x
  2. Step 2: Convert to fraction form
    9,262.95/12,782.79 = 5,013.93/x
  3. Step 3: Cross multiply
    9,262.95x = 12,782.79 × 5,013.93
  4. Step 4: Simplify right side
    9,262.95x = 64,092,014.26
  5. Step 5: Solve for x
    x = 64,092,014.26/9,262.95
  6. Step 6: Final answer
    x = 6,919.18

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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.