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Finding the Fourth Proportional to 9,774.72, 14,663.16 and 4,228.68

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Solution

The fourth proportional to 9,774.72, 14,663.16 and 4,228.68 is: 6,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.72 : 14,663.16 = 4,228.68 : x
  2. Step 2: Convert to fraction form
    9,774.72/14,663.16 = 4,228.68/x
  3. Step 3: Cross multiply
    9,774.72x = 14,663.16 × 4,228.68
  4. Step 4: Simplify right side
    9,774.72x = 62,005,811.43
  5. Step 5: Solve for x
    x = 62,005,811.43/9,774.72
  6. Step 6: Final answer
    x = 6,343.49

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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.