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Finding the Fourth Proportional to 9,674.64, 14,502.24 and 4,484.16

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Solution

The fourth proportional to 9,674.64, 14,502.24 and 4,484.16 is: 6,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.64 : 14,502.24 = 4,484.16 : x
  2. Step 2: Convert to fraction form
    9,674.64/14,502.24 = 4,484.16/x
  3. Step 3: Cross multiply
    9,674.64x = 14,502.24 × 4,484.16
  4. Step 4: Simplify right side
    9,674.64x = 65,030,364.52
  5. Step 5: Solve for x
    x = 65,030,364.52/9,674.64
  6. Step 6: Final answer
    x = 6,721.73

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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.