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Finding the Fourth Proportional to 9,742.68, 13,443.90 and 5,763.02

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Solution

The fourth proportional to 9,742.68, 13,443.90 and 5,763.02 is: 7,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.68 : 13,443.90 = 5,763.02 : x
  2. Step 2: Convert to fraction form
    9,742.68/13,443.90 = 5,763.02/x
  3. Step 3: Cross multiply
    9,742.68x = 13,443.90 × 5,763.02
  4. Step 4: Simplify right side
    9,742.68x = 77,477,397.36
  5. Step 5: Solve for x
    x = 77,477,397.36/9,742.68
  6. Step 6: Final answer
    x = 7,952.37

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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.