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Finding the Fourth Proportional to 9,858.16, 14,787.02 and 4,014.78

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Solution

The fourth proportional to 9,858.16, 14,787.02 and 4,014.78 is: 6,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.16 : 14,787.02 = 4,014.78 : x
  2. Step 2: Convert to fraction form
    9,858.16/14,787.02 = 4,014.78/x
  3. Step 3: Cross multiply
    9,858.16x = 14,787.02 × 4,014.78
  4. Step 4: Simplify right side
    9,858.16x = 59,366,632.16
  5. Step 5: Solve for x
    x = 59,366,632.16/9,858.16
  6. Step 6: Final answer
    x = 6,022.08

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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.