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Finding the Fourth Proportional to 7,957.81, 10,995.87 and 5,727.07

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Solution

The fourth proportional to 7,957.81, 10,995.87 and 5,727.07 is: 7,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.81 : 10,995.87 = 5,727.07 : x
  2. Step 2: Convert to fraction form
    7,957.81/10,995.87 = 5,727.07/x
  3. Step 3: Cross multiply
    7,957.81x = 10,995.87 × 5,727.07
  4. Step 4: Simplify right side
    7,957.81x = 62,974,117.20
  5. Step 5: Solve for x
    x = 62,974,117.20/7,957.81
  6. Step 6: Final answer
    x = 7,913.50

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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.