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Finding the Fourth Proportional to 6,970.84, 10,455.87 and 5,098.65

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Solution

The fourth proportional to 6,970.84, 10,455.87 and 5,098.65 is: 7,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.84 : 10,455.87 = 5,098.65 : x
  2. Step 2: Convert to fraction form
    6,970.84/10,455.87 = 5,098.65/x
  3. Step 3: Cross multiply
    6,970.84x = 10,455.87 × 5,098.65
  4. Step 4: Simplify right side
    6,970.84x = 53,310,821.58
  5. Step 5: Solve for x
    x = 53,310,821.58/6,970.84
  6. Step 6: Final answer
    x = 7,647.69

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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.