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Finding the Fourth Proportional to 8,842.96, 13,317.10 and 7,702.48

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Solution

The fourth proportional to 8,842.96, 13,317.10 and 7,702.48 is: 11,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.96 : 13,317.10 = 7,702.48 : x
  2. Step 2: Convert to fraction form
    8,842.96/13,317.10 = 7,702.48/x
  3. Step 3: Cross multiply
    8,842.96x = 13,317.10 × 7,702.48
  4. Step 4: Simplify right side
    8,842.96x = 102,574,696.41
  5. Step 5: Solve for x
    x = 102,574,696.41/8,842.96
  6. Step 6: Final answer
    x = 11,599.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.