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Finding the Fourth Proportional to 6,465.64, 9,698.46 and 3,001

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Solution

The fourth proportional to 6,465.64, 9,698.46 and 3,001 is: 4,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.64 : 9,698.46 = 3,001 : x
  2. Step 2: Convert to fraction form
    6,465.64/9,698.46 = 3,001/x
  3. Step 3: Cross multiply
    6,465.64x = 9,698.46 × 3,001
  4. Step 4: Simplify right side
    6,465.64x = 29,105,078.46
  5. Step 5: Solve for x
    x = 29,105,078.46/6,465.64
  6. Step 6: Final answer
    x = 4,501.50

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Double scale
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Similar ratio
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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.