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Finding the Fourth Proportional to 19,693.46, 27,177.64 and 10,741.46

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Solution

The fourth proportional to 19,693.46, 27,177.64 and 10,741.46 is: 14,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.46 : 27,177.64 = 10,741.46 : x
  2. Step 2: Convert to fraction form
    19,693.46/27,177.64 = 10,741.46/x
  3. Step 3: Cross multiply
    19,693.46x = 27,177.64 × 10,741.46
  4. Step 4: Simplify right side
    19,693.46x = 291,927,532.95
  5. Step 5: Solve for x
    x = 291,927,532.95/19,693.46
  6. Step 6: Final answer
    x = 14,823.58

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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.