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Finding the Fourth Proportional to 10,588.79, 15,886.64 and 7,624.80

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Solution

The fourth proportional to 10,588.79, 15,886.64 and 7,624.80 is: 11,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.79 : 15,886.64 = 7,624.80 : x
  2. Step 2: Convert to fraction form
    10,588.79/15,886.64 = 7,624.80/x
  3. Step 3: Cross multiply
    10,588.79x = 15,886.64 × 7,624.80
  4. Step 4: Simplify right side
    10,588.79x = 121,132,452.67
  5. Step 5: Solve for x
    x = 121,132,452.67/10,588.79
  6. Step 6: Final answer
    x = 11,439.69

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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.