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Finding the Fourth Proportional to 7,461.86, 11,176.58 and 7,254.50

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Solution

The fourth proportional to 7,461.86, 11,176.58 and 7,254.50 is: 10,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.86 : 11,176.58 = 7,254.50 : x
  2. Step 2: Convert to fraction form
    7,461.86/11,176.58 = 7,254.50/x
  3. Step 3: Cross multiply
    7,461.86x = 11,176.58 × 7,254.50
  4. Step 4: Simplify right side
    7,461.86x = 81,080,461.86
  5. Step 5: Solve for x
    x = 81,080,461.86/7,461.86
  6. Step 6: Final answer
    x = 10,865.99

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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.