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Finding the Fourth Proportional to 10,702.16, 14,774.88 and 8,012.41

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Solution

The fourth proportional to 10,702.16, 14,774.88 and 8,012.41 is: 11,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.16 : 14,774.88 = 8,012.41 : x
  2. Step 2: Convert to fraction form
    10,702.16/14,774.88 = 8,012.41/x
  3. Step 3: Cross multiply
    10,702.16x = 14,774.88 × 8,012.41
  4. Step 4: Simplify right side
    10,702.16x = 118,382,396.26
  5. Step 5: Solve for x
    x = 118,382,396.26/10,702.16
  6. Step 6: Final answer
    x = 11,061.54

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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.