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Finding the Fourth Proportional to 9,262.00, 12,778.07 and 6,077.06

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Solution

The fourth proportional to 9,262.00, 12,778.07 and 6,077.06 is: 8,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.00 : 12,778.07 = 6,077.06 : x
  2. Step 2: Convert to fraction form
    9,262.00/12,778.07 = 6,077.06/x
  3. Step 3: Cross multiply
    9,262.00x = 12,778.07 × 6,077.06
  4. Step 4: Simplify right side
    9,262.00x = 77,653,061.16
  5. Step 5: Solve for x
    x = 77,653,061.16/9,262.00
  6. Step 6: Final answer
    x = 8,384.05

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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.