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Finding the Fourth Proportional to 9,838.84, 14,763.66 and 4,644.58

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Solution

The fourth proportional to 9,838.84, 14,763.66 and 4,644.58 is: 6,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.84 : 14,763.66 = 4,644.58 : x
  2. Step 2: Convert to fraction form
    9,838.84/14,763.66 = 4,644.58/x
  3. Step 3: Cross multiply
    9,838.84x = 14,763.66 × 4,644.58
  4. Step 4: Simplify right side
    9,838.84x = 68,570,999.96
  5. Step 5: Solve for x
    x = 68,570,999.96/9,838.84
  6. Step 6: Final answer
    x = 6,969.42

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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.