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Finding the Fourth Proportional to 9,896.20, 14,848.22 and 4,345.68

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Solution

The fourth proportional to 9,896.20, 14,848.22 and 4,345.68 is: 6,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.20 : 14,848.22 = 4,345.68 : x
  2. Step 2: Convert to fraction form
    9,896.20/14,848.22 = 4,345.68/x
  3. Step 3: Cross multiply
    9,896.20x = 14,848.22 × 4,345.68
  4. Step 4: Simplify right side
    9,896.20x = 64,525,612.69
  5. Step 5: Solve for x
    x = 64,525,612.69/9,896.20
  6. Step 6: Final answer
    x = 6,520.24

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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.