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Finding the Fourth Proportional to 10,411.14, 15,623.60 and 9,719.14

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Solution

The fourth proportional to 10,411.14, 15,623.60 and 9,719.14 is: 14,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.14 : 15,623.60 = 9,719.14 : x
  2. Step 2: Convert to fraction form
    10,411.14/15,623.60 = 9,719.14/x
  3. Step 3: Cross multiply
    10,411.14x = 15,623.60 × 9,719.14
  4. Step 4: Simplify right side
    10,411.14x = 151,847,955.70
  5. Step 5: Solve for x
    x = 151,847,955.70/10,411.14
  6. Step 6: Final answer
    x = 14,585.14

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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.