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Finding the Fourth Proportional to 9,705.62, 14,558.74 and 7,595.30

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Solution

The fourth proportional to 9,705.62, 14,558.74 and 7,595.30 is: 11,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.62 : 14,558.74 = 7,595.30 : x
  2. Step 2: Convert to fraction form
    9,705.62/14,558.74 = 7,595.30/x
  3. Step 3: Cross multiply
    9,705.62x = 14,558.74 × 7,595.30
  4. Step 4: Simplify right side
    9,705.62x = 110,577,997.92
  5. Step 5: Solve for x
    x = 110,577,997.92/9,705.62
  6. Step 6: Final answer
    x = 11,393.19

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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.