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Finding the Fourth Proportional to 14,698.10, 20,283.04 and 7,983.58

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Solution

The fourth proportional to 14,698.10, 20,283.04 and 7,983.58 is: 11,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.10 : 20,283.04 = 7,983.58 : x
  2. Step 2: Convert to fraction form
    14,698.10/20,283.04 = 7,983.58/x
  3. Step 3: Cross multiply
    14,698.10x = 20,283.04 × 7,983.58
  4. Step 4: Simplify right side
    14,698.10x = 161,931,269.79
  5. Step 5: Solve for x
    x = 161,931,269.79/14,698.10
  6. Step 6: Final answer
    x = 11,017.16

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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.