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Finding the Fourth Proportional to 6,586.02, 9,820.94 and 6,526.76

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Solution

The fourth proportional to 6,586.02, 9,820.94 and 6,526.76 is: 9,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.02 : 9,820.94 = 6,526.76 : x
  2. Step 2: Convert to fraction form
    6,586.02/9,820.94 = 6,526.76/x
  3. Step 3: Cross multiply
    6,586.02x = 9,820.94 × 6,526.76
  4. Step 4: Simplify right side
    6,586.02x = 64,098,836.62
  5. Step 5: Solve for x
    x = 64,098,836.62/6,586.02
  6. Step 6: Final answer
    x = 9,732.56

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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.