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Finding the Fourth Proportional to 7,574.76, 11,353.68 and 5,719.86

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Solution

The fourth proportional to 7,574.76, 11,353.68 and 5,719.86 is: 8,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.76 : 11,353.68 = 5,719.86 : x
  2. Step 2: Convert to fraction form
    7,574.76/11,353.68 = 5,719.86/x
  3. Step 3: Cross multiply
    7,574.76x = 11,353.68 × 5,719.86
  4. Step 4: Simplify right side
    7,574.76x = 64,941,460.08
  5. Step 5: Solve for x
    x = 64,941,460.08/7,574.76
  6. Step 6: Final answer
    x = 8,573.40

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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.