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Finding the Fourth Proportional to 6,467.69, 9,701.06 and 2,307.23

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Solution

The fourth proportional to 6,467.69, 9,701.06 and 2,307.23 is: 3,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.69 : 9,701.06 = 2,307.23 : x
  2. Step 2: Convert to fraction form
    6,467.69/9,701.06 = 2,307.23/x
  3. Step 3: Cross multiply
    6,467.69x = 9,701.06 × 2,307.23
  4. Step 4: Simplify right side
    6,467.69x = 22,382,528.16
  5. Step 5: Solve for x
    x = 22,382,528.16/6,467.69
  6. Step 6: Final answer
    x = 3,460.67

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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.