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Finding the Fourth Proportional to 6,465.38, 9,698.09 and 1,848.38

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Solution

The fourth proportional to 6,465.38, 9,698.09 and 1,848.38 is: 2,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.38 : 9,698.09 = 1,848.38 : x
  2. Step 2: Convert to fraction form
    6,465.38/9,698.09 = 1,848.38/x
  3. Step 3: Cross multiply
    6,465.38x = 9,698.09 × 1,848.38
  4. Step 4: Simplify right side
    6,465.38x = 17,925,697.86
  5. Step 5: Solve for x
    x = 17,925,697.86/6,465.38
  6. Step 6: Final answer
    x = 2,772.57

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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.