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Finding the Fourth Proportional to 10,615.98, 14,641.14 and 8,941.32

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Solution

The fourth proportional to 10,615.98, 14,641.14 and 8,941.32 is: 12,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.98 : 14,641.14 = 8,941.32 : x
  2. Step 2: Convert to fraction form
    10,615.98/14,641.14 = 8,941.32/x
  3. Step 3: Cross multiply
    10,615.98x = 14,641.14 × 8,941.32
  4. Step 4: Simplify right side
    10,615.98x = 130,911,117.90
  5. Step 5: Solve for x
    x = 130,911,117.90/10,615.98
  6. Step 6: Final answer
    x = 12,331.52

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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.