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Finding the Fourth Proportional to 7,787.16, 11,693.70 and 7,726.68

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Solution

The fourth proportional to 7,787.16, 11,693.70 and 7,726.68 is: 11,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.16 : 11,693.70 = 7,726.68 : x
  2. Step 2: Convert to fraction form
    7,787.16/11,693.70 = 7,726.68/x
  3. Step 3: Cross multiply
    7,787.16x = 11,693.70 × 7,726.68
  4. Step 4: Simplify right side
    7,787.16x = 90,353,477.92
  5. Step 5: Solve for x
    x = 90,353,477.92/7,787.16
  6. Step 6: Final answer
    x = 11,602.88

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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.