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Finding the Fourth Proportional to 6,724.01, 10,043 and 6,089.84

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Solution

The fourth proportional to 6,724.01, 10,043 and 6,089.84 is: 9,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.01 : 10,043 = 6,089.84 : x
  2. Step 2: Convert to fraction form
    6,724.01/10,043 = 6,089.84/x
  3. Step 3: Cross multiply
    6,724.01x = 10,043 × 6,089.84
  4. Step 4: Simplify right side
    6,724.01x = 61,160,263.12
  5. Step 5: Solve for x
    x = 61,160,263.12/6,724.01
  6. Step 6: Final answer
    x = 9,095.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.