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Finding the Fourth Proportional to 6,967.65, 9,615.87 and 4,315.17

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Solution

The fourth proportional to 6,967.65, 9,615.87 and 4,315.17 is: 5,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.65 : 9,615.87 = 4,315.17 : x
  2. Step 2: Convert to fraction form
    6,967.65/9,615.87 = 4,315.17/x
  3. Step 3: Cross multiply
    6,967.65x = 9,615.87 × 4,315.17
  4. Step 4: Simplify right side
    6,967.65x = 41,494,113.75
  5. Step 5: Solve for x
    x = 41,494,113.75/6,967.65
  6. Step 6: Final answer
    x = 5,955.25

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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.