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Finding the Fourth Proportional to 9,677.88, 14,502.24 and 4,477.68

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Solution

The fourth proportional to 9,677.88, 14,502.24 and 4,477.68 is: 6,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.88 : 14,502.24 = 4,477.68 : x
  2. Step 2: Convert to fraction form
    9,677.88/14,502.24 = 4,477.68/x
  3. Step 3: Cross multiply
    9,677.88x = 14,502.24 × 4,477.68
  4. Step 4: Simplify right side
    9,677.88x = 64,936,390.00
  5. Step 5: Solve for x
    x = 64,936,390.00/9,677.88
  6. Step 6: Final answer
    x = 6,709.77

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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.