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Finding the Fourth Proportional to 6,969.16, 9,616.06 and 4,136.02

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Solution

The fourth proportional to 6,969.16, 9,616.06 and 4,136.02 is: 5,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.16 : 9,616.06 = 4,136.02 : x
  2. Step 2: Convert to fraction form
    6,969.16/9,616.06 = 4,136.02/x
  3. Step 3: Cross multiply
    6,969.16x = 9,616.06 × 4,136.02
  4. Step 4: Simplify right side
    6,969.16x = 39,772,216.48
  5. Step 5: Solve for x
    x = 39,772,216.48/6,969.16
  6. Step 6: Final answer
    x = 5,706.89

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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.