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Finding the Fourth Proportional to 27,097.64, 40,636.35 and 9,323.32

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Solution

The fourth proportional to 27,097.64, 40,636.35 and 9,323.32 is: 13,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.64 : 40,636.35 = 9,323.32 : x
  2. Step 2: Convert to fraction form
    27,097.64/40,636.35 = 9,323.32/x
  3. Step 3: Cross multiply
    27,097.64x = 40,636.35 × 9,323.32
  4. Step 4: Simplify right side
    27,097.64x = 378,865,669.28
  5. Step 5: Solve for x
    x = 378,865,669.28/27,097.64
  6. Step 6: Final answer
    x = 13,981.50

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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.