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Finding the Fourth Proportional to 6,437.66, 9,631.71 and 5,971.10

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Solution

The fourth proportional to 6,437.66, 9,631.71 and 5,971.10 is: 8,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.66 : 9,631.71 = 5,971.10 : x
  2. Step 2: Convert to fraction form
    6,437.66/9,631.71 = 5,971.10/x
  3. Step 3: Cross multiply
    6,437.66x = 9,631.71 × 5,971.10
  4. Step 4: Simplify right side
    6,437.66x = 57,511,855.42
  5. Step 5: Solve for x
    x = 57,511,855.42/6,437.66
  6. Step 6: Final answer
    x = 8,933.67

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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.