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Finding the Fourth Proportional to 27,313.58, 40,970.36 and 9,795.71

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Solution

The fourth proportional to 27,313.58, 40,970.36 and 9,795.71 is: 14,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313.58 : 40,970.36 = 9,795.71 : x
  2. Step 2: Convert to fraction form
    27,313.58/40,970.36 = 9,795.71/x
  3. Step 3: Cross multiply
    27,313.58x = 40,970.36 × 9,795.71
  4. Step 4: Simplify right side
    27,313.58x = 401,333,511.33
  5. Step 5: Solve for x
    x = 401,333,511.33/27,313.58
  6. Step 6: Final answer
    x = 14,693.55

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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.