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Finding the Fourth Proportional to 9,758.44, 14,657.10 and 6,064.84

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Solution

The fourth proportional to 9,758.44, 14,657.10 and 6,064.84 is: 9,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.44 : 14,657.10 = 6,064.84 : x
  2. Step 2: Convert to fraction form
    9,758.44/14,657.10 = 6,064.84/x
  3. Step 3: Cross multiply
    9,758.44x = 14,657.10 × 6,064.84
  4. Step 4: Simplify right side
    9,758.44x = 88,892,966.36
  5. Step 5: Solve for x
    x = 88,892,966.36/9,758.44
  6. Step 6: Final answer
    x = 9,109.34

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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.