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Finding the Fourth Proportional to 14,863.82, 20,506.98 and 8,485.82

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Solution

The fourth proportional to 14,863.82, 20,506.98 and 8,485.82 is: 11,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.82 : 20,506.98 = 8,485.82 : x
  2. Step 2: Convert to fraction form
    14,863.82/20,506.98 = 8,485.82/x
  3. Step 3: Cross multiply
    14,863.82x = 20,506.98 × 8,485.82
  4. Step 4: Simplify right side
    14,863.82x = 174,018,541.02
  5. Step 5: Solve for x
    x = 174,018,541.02/14,863.82
  6. Step 6: Final answer
    x = 11,707.52

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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.