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Finding the Fourth Proportional to 11,653.60, 17,523.60 and 9,752.80

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Solution

The fourth proportional to 11,653.60, 17,523.60 and 9,752.80 is: 14,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.60 : 17,523.60 = 9,752.80 : x
  2. Step 2: Convert to fraction form
    11,653.60/17,523.60 = 9,752.80/x
  3. Step 3: Cross multiply
    11,653.60x = 17,523.60 × 9,752.80
  4. Step 4: Simplify right side
    11,653.60x = 170,904,166.08
  5. Step 5: Solve for x
    x = 170,904,166.08/11,653.60
  6. Step 6: Final answer
    x = 14,665.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.