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Finding the Fourth Proportional to 9,751.68, 14,624.64 and 4,486.08

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Solution

The fourth proportional to 9,751.68, 14,624.64 and 4,486.08 is: 6,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.68 : 14,624.64 = 4,486.08 : x
  2. Step 2: Convert to fraction form
    9,751.68/14,624.64 = 4,486.08/x
  3. Step 3: Cross multiply
    9,751.68x = 14,624.64 × 4,486.08
  4. Step 4: Simplify right side
    9,751.68x = 65,607,305.01
  5. Step 5: Solve for x
    x = 65,607,305.01/9,751.68
  6. Step 6: Final answer
    x = 6,727.80

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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.