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Finding the Fourth Proportional to 15,813.01, 21,822.02 and 8,643.07

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Solution

The fourth proportional to 15,813.01, 21,822.02 and 8,643.07 is: 11,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.01 : 21,822.02 = 8,643.07 : x
  2. Step 2: Convert to fraction form
    15,813.01/21,822.02 = 8,643.07/x
  3. Step 3: Cross multiply
    15,813.01x = 21,822.02 × 8,643.07
  4. Step 4: Simplify right side
    15,813.01x = 188,609,246.40
  5. Step 5: Solve for x
    x = 188,609,246.40/15,813.01
  6. Step 6: Final answer
    x = 11,927.47

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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.