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Finding the Fourth Proportional to 10,587, 14,611.26 and 6,111.95

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Solution

The fourth proportional to 10,587, 14,611.26 and 6,111.95 is: 8,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587 : 14,611.26 = 6,111.95 : x
  2. Step 2: Convert to fraction form
    10,587/14,611.26 = 6,111.95/x
  3. Step 3: Cross multiply
    10,587x = 14,611.26 × 6,111.95
  4. Step 4: Simplify right side
    10,587x = 89,303,217.50
  5. Step 5: Solve for x
    x = 89,303,217.50/10,587
  6. Step 6: Final answer
    x = 8,435.18

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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.