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Finding the Fourth Proportional to 6,509.58, 9,763.32 and 1,829.16

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Solution

The fourth proportional to 6,509.58, 9,763.32 and 1,829.16 is: 2,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.58 : 9,763.32 = 1,829.16 : x
  2. Step 2: Convert to fraction form
    6,509.58/9,763.32 = 1,829.16/x
  3. Step 3: Cross multiply
    6,509.58x = 9,763.32 × 1,829.16
  4. Step 4: Simplify right side
    6,509.58x = 17,858,674.41
  5. Step 5: Solve for x
    x = 17,858,674.41/6,509.58
  6. Step 6: Final answer
    x = 2,743.44

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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.