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Finding the Fourth Proportional to 7,762.68, 11,624.58 and 5,157.72

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Solution

The fourth proportional to 7,762.68, 11,624.58 and 5,157.72 is: 7,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.68 : 11,624.58 = 5,157.72 : x
  2. Step 2: Convert to fraction form
    7,762.68/11,624.58 = 5,157.72/x
  3. Step 3: Cross multiply
    7,762.68x = 11,624.58 × 5,157.72
  4. Step 4: Simplify right side
    7,762.68x = 59,956,328.76
  5. Step 5: Solve for x
    x = 59,956,328.76/7,762.68
  6. Step 6: Final answer
    x = 7,723.66

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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.