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Finding the Fourth Proportional to 17,604, 24,293.61 and 9,646.51

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Solution

The fourth proportional to 17,604, 24,293.61 and 9,646.51 is: 13,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604 : 24,293.61 = 9,646.51 : x
  2. Step 2: Convert to fraction form
    17,604/24,293.61 = 9,646.51/x
  3. Step 3: Cross multiply
    17,604x = 24,293.61 × 9,646.51
  4. Step 4: Simplify right side
    17,604x = 234,348,551.80
  5. Step 5: Solve for x
    x = 234,348,551.80/17,604
  6. Step 6: Final answer
    x = 13,312.23

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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.