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Finding the Fourth Proportional to 5,931.66, 8,897.55 and 1,771.74

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Solution

The fourth proportional to 5,931.66, 8,897.55 and 1,771.74 is: 2,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.66 : 8,897.55 = 1,771.74 : x
  2. Step 2: Convert to fraction form
    5,931.66/8,897.55 = 1,771.74/x
  3. Step 3: Cross multiply
    5,931.66x = 8,897.55 × 1,771.74
  4. Step 4: Simplify right side
    5,931.66x = 15,764,145.24
  5. Step 5: Solve for x
    x = 15,764,145.24/5,931.66
  6. Step 6: Final answer
    x = 2,657.63

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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.