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Finding the Fourth Proportional to 9,742.65, 14,626.55 and 8,364.84

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Solution

The fourth proportional to 9,742.65, 14,626.55 and 8,364.84 is: 12,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.65 : 14,626.55 = 8,364.84 : x
  2. Step 2: Convert to fraction form
    9,742.65/14,626.55 = 8,364.84/x
  3. Step 3: Cross multiply
    9,742.65x = 14,626.55 × 8,364.84
  4. Step 4: Simplify right side
    9,742.65x = 122,348,750.50
  5. Step 5: Solve for x
    x = 122,348,750.50/9,742.65
  6. Step 6: Final answer
    x = 12,558.06

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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.