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Finding the Fourth Proportional to 6,478.40, 9,717.60 and 1,798.40

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Solution

The fourth proportional to 6,478.40, 9,717.60 and 1,798.40 is: 2,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.40 : 9,717.60 = 1,798.40 : x
  2. Step 2: Convert to fraction form
    6,478.40/9,717.60 = 1,798.40/x
  3. Step 3: Cross multiply
    6,478.40x = 9,717.60 × 1,798.40
  4. Step 4: Simplify right side
    6,478.40x = 17,476,131.84
  5. Step 5: Solve for x
    x = 17,476,131.84/6,478.40
  6. Step 6: Final answer
    x = 2,697.60

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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.