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Finding the Fourth Proportional to 11,792.80, 17,668.68 and 9,842.32

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Solution

The fourth proportional to 11,792.80, 17,668.68 and 9,842.32 is: 14,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.80 : 17,668.68 = 9,842.32 : x
  2. Step 2: Convert to fraction form
    11,792.80/17,668.68 = 9,842.32/x
  3. Step 3: Cross multiply
    11,792.80x = 17,668.68 × 9,842.32
  4. Step 4: Simplify right side
    11,792.80x = 173,900,802.54
  5. Step 5: Solve for x
    x = 173,900,802.54/11,792.80
  6. Step 6: Final answer
    x = 14,746.35

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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.