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Finding the Fourth Proportional to 7,218.84, 10,807.14 and 6,527.10

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Solution

The fourth proportional to 7,218.84, 10,807.14 and 6,527.10 is: 9,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.84 : 10,807.14 = 6,527.10 : x
  2. Step 2: Convert to fraction form
    7,218.84/10,807.14 = 6,527.10/x
  3. Step 3: Cross multiply
    7,218.84x = 10,807.14 × 6,527.10
  4. Step 4: Simplify right side
    7,218.84x = 70,539,283.49
  5. Step 5: Solve for x
    x = 70,539,283.49/7,218.84
  6. Step 6: Final answer
    x = 9,771.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.