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Finding the Fourth Proportional to 6,538.29, 9,807.21 and 1,607.82

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Solution

The fourth proportional to 6,538.29, 9,807.21 and 1,607.82 is: 2,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.29 : 9,807.21 = 1,607.82 : x
  2. Step 2: Convert to fraction form
    6,538.29/9,807.21 = 1,607.82/x
  3. Step 3: Cross multiply
    6,538.29x = 9,807.21 × 1,607.82
  4. Step 4: Simplify right side
    6,538.29x = 15,768,228.38
  5. Step 5: Solve for x
    x = 15,768,228.38/6,538.29
  6. Step 6: Final answer
    x = 2,411.67

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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.