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Finding the Fourth Proportional to 14,203.76, 19,599.17 and 7,916.13

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Solution

The fourth proportional to 14,203.76, 19,599.17 and 7,916.13 is: 10,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.76 : 19,599.17 = 7,916.13 : x
  2. Step 2: Convert to fraction form
    14,203.76/19,599.17 = 7,916.13/x
  3. Step 3: Cross multiply
    14,203.76x = 19,599.17 × 7,916.13
  4. Step 4: Simplify right side
    14,203.76x = 155,149,538.03
  5. Step 5: Solve for x
    x = 155,149,538.03/14,203.76
  6. Step 6: Final answer
    x = 10,923.14

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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.