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Finding the Fourth Proportional to 10,187.68, 14,056.86 and 6,656.08

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Solution

The fourth proportional to 10,187.68, 14,056.86 and 6,656.08 is: 9,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.68 : 14,056.86 = 6,656.08 : x
  2. Step 2: Convert to fraction form
    10,187.68/14,056.86 = 6,656.08/x
  3. Step 3: Cross multiply
    10,187.68x = 14,056.86 × 6,656.08
  4. Step 4: Simplify right side
    10,187.68x = 93,563,584.71
  5. Step 5: Solve for x
    x = 93,563,584.71/10,187.68
  6. Step 6: Final answer
    x = 9,183.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.