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Finding the Fourth Proportional to 7,045.65, 10,511.10 and 6,474.20

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Solution

The fourth proportional to 7,045.65, 10,511.10 and 6,474.20 is: 9,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.65 : 10,511.10 = 6,474.20 : x
  2. Step 2: Convert to fraction form
    7,045.65/10,511.10 = 6,474.20/x
  3. Step 3: Cross multiply
    7,045.65x = 10,511.10 × 6,474.20
  4. Step 4: Simplify right side
    7,045.65x = 68,050,911.06
  5. Step 5: Solve for x
    x = 68,050,911.06/7,045.65
  6. Step 6: Final answer
    x = 9,658.57

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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.