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Finding the Fourth Proportional to 14,153.00, 19,510.07 and 9,116.21

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Solution

The fourth proportional to 14,153.00, 19,510.07 and 9,116.21 is: 12,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.00 : 19,510.07 = 9,116.21 : x
  2. Step 2: Convert to fraction form
    14,153.00/19,510.07 = 9,116.21/x
  3. Step 3: Cross multiply
    14,153.00x = 19,510.07 × 9,116.21
  4. Step 4: Simplify right side
    14,153.00x = 177,857,898.43
  5. Step 5: Solve for x
    x = 177,857,898.43/14,153.00
  6. Step 6: Final answer
    x = 12,566.80

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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.