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Finding the Fourth Proportional to 9,720.70, 13,414.18 and 5,743.10

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Solution

The fourth proportional to 9,720.70, 13,414.18 and 5,743.10 is: 7,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.70 : 13,414.18 = 5,743.10 : x
  2. Step 2: Convert to fraction form
    9,720.70/13,414.18 = 5,743.10/x
  3. Step 3: Cross multiply
    9,720.70x = 13,414.18 × 5,743.10
  4. Step 4: Simplify right side
    9,720.70x = 77,038,977.16
  5. Step 5: Solve for x
    x = 77,038,977.16/9,720.70
  6. Step 6: Final answer
    x = 7,925.25

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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.