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Finding the Fourth Proportional to 9,897.64, 14,844.54 and 6,382.12

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Solution

The fourth proportional to 9,897.64, 14,844.54 and 6,382.12 is: 9,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.64 : 14,844.54 = 6,382.12 : x
  2. Step 2: Convert to fraction form
    9,897.64/14,844.54 = 6,382.12/x
  3. Step 3: Cross multiply
    9,897.64x = 14,844.54 × 6,382.12
  4. Step 4: Simplify right side
    9,897.64x = 94,739,635.62
  5. Step 5: Solve for x
    x = 94,739,635.62/9,897.64
  6. Step 6: Final answer
    x = 9,571.94

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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.