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Finding the Fourth Proportional to 6,930.06, 9,566.10 and 4,696.98

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Solution

The fourth proportional to 6,930.06, 9,566.10 and 4,696.98 is: 6,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.06 : 9,566.10 = 4,696.98 : x
  2. Step 2: Convert to fraction form
    6,930.06/9,566.10 = 4,696.98/x
  3. Step 3: Cross multiply
    6,930.06x = 9,566.10 × 4,696.98
  4. Step 4: Simplify right side
    6,930.06x = 44,931,780.38
  5. Step 5: Solve for x
    x = 44,931,780.38/6,930.06
  6. Step 6: Final answer
    x = 6,483.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.