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Finding the Fourth Proportional to 6,966.81, 9,617.54 and 4,698.68

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Solution

The fourth proportional to 6,966.81, 9,617.54 and 4,698.68 is: 6,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.81 : 9,617.54 = 4,698.68 : x
  2. Step 2: Convert to fraction form
    6,966.81/9,617.54 = 4,698.68/x
  3. Step 3: Cross multiply
    6,966.81x = 9,617.54 × 4,698.68
  4. Step 4: Simplify right side
    6,966.81x = 45,189,671.27
  5. Step 5: Solve for x
    x = 45,189,671.27/6,966.81
  6. Step 6: Final answer
    x = 6,486.42

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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.