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Finding the Fourth Proportional to 10,817.64, 14,920.64 and 7,033.80

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Solution

The fourth proportional to 10,817.64, 14,920.64 and 7,033.80 is: 9,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.64 : 14,920.64 = 7,033.80 : x
  2. Step 2: Convert to fraction form
    10,817.64/14,920.64 = 7,033.80/x
  3. Step 3: Cross multiply
    10,817.64x = 14,920.64 × 7,033.80
  4. Step 4: Simplify right side
    10,817.64x = 104,948,797.63
  5. Step 5: Solve for x
    x = 104,948,797.63/10,817.64
  6. Step 6: Final answer
    x = 9,701.64

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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.