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Finding the Fourth Proportional to 6,477.12, 9,709.56 and 5,309.64

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Solution

The fourth proportional to 6,477.12, 9,709.56 and 5,309.64 is: 7,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.12 : 9,709.56 = 5,309.64 : x
  2. Step 2: Convert to fraction form
    6,477.12/9,709.56 = 5,309.64/x
  3. Step 3: Cross multiply
    6,477.12x = 9,709.56 × 5,309.64
  4. Step 4: Simplify right side
    6,477.12x = 51,554,268.16
  5. Step 5: Solve for x
    x = 51,554,268.16/6,477.12
  6. Step 6: Final answer
    x = 7,959.44

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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.