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Finding the Fourth Proportional to 6,527.94, 9,003.94 and 4,011.46

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Solution

The fourth proportional to 6,527.94, 9,003.94 and 4,011.46 is: 5,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.94 : 9,003.94 = 4,011.46 : x
  2. Step 2: Convert to fraction form
    6,527.94/9,003.94 = 4,011.46/x
  3. Step 3: Cross multiply
    6,527.94x = 9,003.94 × 4,011.46
  4. Step 4: Simplify right side
    6,527.94x = 36,118,945.15
  5. Step 5: Solve for x
    x = 36,118,945.15/6,527.94
  6. Step 6: Final answer
    x = 5,532.98

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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.