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Finding the Fourth Proportional to 9,482.87, 13,080.26 and 5,756.87

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Solution

The fourth proportional to 9,482.87, 13,080.26 and 5,756.87 is: 7,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.87 : 13,080.26 = 5,756.87 : x
  2. Step 2: Convert to fraction form
    9,482.87/13,080.26 = 5,756.87/x
  3. Step 3: Cross multiply
    9,482.87x = 13,080.26 × 5,756.87
  4. Step 4: Simplify right side
    9,482.87x = 75,301,262.20
  5. Step 5: Solve for x
    x = 75,301,262.20/9,482.87
  6. Step 6: Final answer
    x = 7,940.77

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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.