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Finding the Fourth Proportional to 9,810.22, 14,696.79 and 7,592.85

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Solution

The fourth proportional to 9,810.22, 14,696.79 and 7,592.85 is: 11,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.22 : 14,696.79 = 7,592.85 : x
  2. Step 2: Convert to fraction form
    9,810.22/14,696.79 = 7,592.85/x
  3. Step 3: Cross multiply
    9,810.22x = 14,696.79 × 7,592.85
  4. Step 4: Simplify right side
    9,810.22x = 111,590,521.95
  5. Step 5: Solve for x
    x = 111,590,521.95/9,810.22
  6. Step 6: Final answer
    x = 11,374.93

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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.