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Finding the Fourth Proportional to 14,464.48, 19,961.04 and 9,153.76

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Solution

The fourth proportional to 14,464.48, 19,961.04 and 9,153.76 is: 12,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.48 : 19,961.04 = 9,153.76 : x
  2. Step 2: Convert to fraction form
    14,464.48/19,961.04 = 9,153.76/x
  3. Step 3: Cross multiply
    14,464.48x = 19,961.04 × 9,153.76
  4. Step 4: Simplify right side
    14,464.48x = 182,718,569.51
  5. Step 5: Solve for x
    x = 182,718,569.51/14,464.48
  6. Step 6: Final answer
    x = 12,632.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.