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Finding the Fourth Proportional to 9,737.65, 14,592.81 and 4,186.82

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Solution

The fourth proportional to 9,737.65, 14,592.81 and 4,186.82 is: 6,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.65 : 14,592.81 = 4,186.82 : x
  2. Step 2: Convert to fraction form
    9,737.65/14,592.81 = 4,186.82/x
  3. Step 3: Cross multiply
    9,737.65x = 14,592.81 × 4,186.82
  4. Step 4: Simplify right side
    9,737.65x = 61,097,497.40
  5. Step 5: Solve for x
    x = 61,097,497.40/9,737.65
  6. Step 6: Final answer
    x = 6,274.36

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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.