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Finding the Fourth Proportional to 9,901.44, 14,835.36 and 6,966.24

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Solution

The fourth proportional to 9,901.44, 14,835.36 and 6,966.24 is: 10,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.44 : 14,835.36 = 6,966.24 : x
  2. Step 2: Convert to fraction form
    9,901.44/14,835.36 = 6,966.24/x
  3. Step 3: Cross multiply
    9,901.44x = 14,835.36 × 6,966.24
  4. Step 4: Simplify right side
    9,901.44x = 103,346,678.25
  5. Step 5: Solve for x
    x = 103,346,678.25/9,901.44
  6. Step 6: Final answer
    x = 10,437.54

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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.