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Finding the Fourth Proportional to 14,085.76, 19,438.92 and 7,798.18

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Solution

The fourth proportional to 14,085.76, 19,438.92 and 7,798.18 is: 10,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.76 : 19,438.92 = 7,798.18 : x
  2. Step 2: Convert to fraction form
    14,085.76/19,438.92 = 7,798.18/x
  3. Step 3: Cross multiply
    14,085.76x = 19,438.92 × 7,798.18
  4. Step 4: Simplify right side
    14,085.76x = 151,588,197.17
  5. Step 5: Solve for x
    x = 151,588,197.17/14,085.76
  6. Step 6: Final answer
    x = 10,761.80

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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.