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Finding the Fourth Proportional to 9,515.43, 14,200.88 and 9,294.30

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Solution

The fourth proportional to 9,515.43, 14,200.88 and 9,294.30 is: 13,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.43 : 14,200.88 = 9,294.30 : x
  2. Step 2: Convert to fraction form
    9,515.43/14,200.88 = 9,294.30/x
  3. Step 3: Cross multiply
    9,515.43x = 14,200.88 × 9,294.30
  4. Step 4: Simplify right side
    9,515.43x = 131,987,192.51
  5. Step 5: Solve for x
    x = 131,987,192.51/9,515.43
  6. Step 6: Final answer
    x = 13,870.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.