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Finding the Fourth Proportional to 9,897.21, 14,844.42 and 2,501.21

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Solution

The fourth proportional to 9,897.21, 14,844.42 and 2,501.21 is: 3,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.21 : 14,844.42 = 2,501.21 : x
  2. Step 2: Convert to fraction form
    9,897.21/14,844.42 = 2,501.21/x
  3. Step 3: Cross multiply
    9,897.21x = 14,844.42 × 2,501.21
  4. Step 4: Simplify right side
    9,897.21x = 37,129,048.86
  5. Step 5: Solve for x
    x = 37,129,048.86/9,897.21
  6. Step 6: Final answer
    x = 3,751.47

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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.