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Finding the Fourth Proportional to 10,602.51, 14,645.24 and 8,069.23

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Solution

The fourth proportional to 10,602.51, 14,645.24 and 8,069.23 is: 11,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.51 : 14,645.24 = 8,069.23 : x
  2. Step 2: Convert to fraction form
    10,602.51/14,645.24 = 8,069.23/x
  3. Step 3: Cross multiply
    10,602.51x = 14,645.24 × 8,069.23
  4. Step 4: Simplify right side
    10,602.51x = 118,175,809.97
  5. Step 5: Solve for x
    x = 118,175,809.97/10,602.51
  6. Step 6: Final answer
    x = 11,146.02

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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.