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Finding the Fourth Proportional to 9,507.84, 14,250.24 and 4,876.80

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Solution

The fourth proportional to 9,507.84, 14,250.24 and 4,876.80 is: 7,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.84 : 14,250.24 = 4,876.80 : x
  2. Step 2: Convert to fraction form
    9,507.84/14,250.24 = 4,876.80/x
  3. Step 3: Cross multiply
    9,507.84x = 14,250.24 × 4,876.80
  4. Step 4: Simplify right side
    9,507.84x = 69,495,570.43
  5. Step 5: Solve for x
    x = 69,495,570.43/9,507.84
  6. Step 6: Final answer
    x = 7,309.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.