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Finding the Fourth Proportional to 9,993.16, 14,989.74 and 3,419.40

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Solution

The fourth proportional to 9,993.16, 14,989.74 and 3,419.40 is: 5,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.16 : 14,989.74 = 3,419.40 : x
  2. Step 2: Convert to fraction form
    9,993.16/14,989.74 = 3,419.40/x
  3. Step 3: Cross multiply
    9,993.16x = 14,989.74 × 3,419.40
  4. Step 4: Simplify right side
    9,993.16x = 51,255,916.96
  5. Step 5: Solve for x
    x = 51,255,916.96/9,993.16
  6. Step 6: Final answer
    x = 5,129.10

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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.