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Finding the Fourth Proportional to 6,527.46, 9,772.53 and 6,113.64

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Solution

The fourth proportional to 6,527.46, 9,772.53 and 6,113.64 is: 9,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.46 : 9,772.53 = 6,113.64 : x
  2. Step 2: Convert to fraction form
    6,527.46/9,772.53 = 6,113.64/x
  3. Step 3: Cross multiply
    6,527.46x = 9,772.53 × 6,113.64
  4. Step 4: Simplify right side
    6,527.46x = 59,745,730.31
  5. Step 5: Solve for x
    x = 59,745,730.31/6,527.46
  6. Step 6: Final answer
    x = 9,152.98

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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.