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Finding the Fourth Proportional to 6,509.66, 8,983.28 and 3,525.46

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Solution

The fourth proportional to 6,509.66, 8,983.28 and 3,525.46 is: 4,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.66 : 8,983.28 = 3,525.46 : x
  2. Step 2: Convert to fraction form
    6,509.66/8,983.28 = 3,525.46/x
  3. Step 3: Cross multiply
    6,509.66x = 8,983.28 × 3,525.46
  4. Step 4: Simplify right side
    6,509.66x = 31,670,214.35
  5. Step 5: Solve for x
    x = 31,670,214.35/6,509.66
  6. Step 6: Final answer
    x = 4,865.11

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Double scale
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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.