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Finding the Fourth Proportional to 6,984.91, 9,635.46 and 5,303.53

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Solution

The fourth proportional to 6,984.91, 9,635.46 and 5,303.53 is: 7,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.91 : 9,635.46 = 5,303.53 : x
  2. Step 2: Convert to fraction form
    6,984.91/9,635.46 = 5,303.53/x
  3. Step 3: Cross multiply
    6,984.91x = 9,635.46 × 5,303.53
  4. Step 4: Simplify right side
    6,984.91x = 51,101,951.17
  5. Step 5: Solve for x
    x = 51,101,951.17/6,984.91
  6. Step 6: Final answer
    x = 7,316.05

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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.