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Finding the Fourth Proportional to 11,645.97, 17,547.42 and 9,611.54

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Solution

The fourth proportional to 11,645.97, 17,547.42 and 9,611.54 is: 14,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.97 : 17,547.42 = 9,611.54 : x
  2. Step 2: Convert to fraction form
    11,645.97/17,547.42 = 9,611.54/x
  3. Step 3: Cross multiply
    11,645.97x = 17,547.42 × 9,611.54
  4. Step 4: Simplify right side
    11,645.97x = 168,657,729.23
  5. Step 5: Solve for x
    x = 168,657,729.23/11,645.97
  6. Step 6: Final answer
    x = 14,482.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.