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Finding the Fourth Proportional to 9,750.10, 14,616.30 and 5,064.63

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Solution

The fourth proportional to 9,750.10, 14,616.30 and 5,064.63 is: 7,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.10 : 14,616.30 = 5,064.63 : x
  2. Step 2: Convert to fraction form
    9,750.10/14,616.30 = 5,064.63/x
  3. Step 3: Cross multiply
    9,750.10x = 14,616.30 × 5,064.63
  4. Step 4: Simplify right side
    9,750.10x = 74,026,087.16
  5. Step 5: Solve for x
    x = 74,026,087.16/9,750.10
  6. Step 6: Final answer
    x = 7,592.34

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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.