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Finding the Fourth Proportional to 5,527.40, 7,757.80 and 5,527.40

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Solution

The fourth proportional to 5,527.40, 7,757.80 and 5,527.40 is: 7,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.40 : 7,757.80 = 5,527.40 : x
  2. Step 2: Convert to fraction form
    5,527.40/7,757.80 = 5,527.40/x
  3. Step 3: Cross multiply
    5,527.40x = 7,757.80 × 5,527.40
  4. Step 4: Simplify right side
    5,527.40x = 42,880,463.72
  5. Step 5: Solve for x
    x = 42,880,463.72/5,527.40
  6. Step 6: Final answer
    x = 7,757.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.