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Finding the Fourth Proportional to 5,931.75, 8,897.64 and 1,827.75

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Solution

The fourth proportional to 5,931.75, 8,897.64 and 1,827.75 is: 2,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.75 : 8,897.64 = 1,827.75 : x
  2. Step 2: Convert to fraction form
    5,931.75/8,897.64 = 1,827.75/x
  3. Step 3: Cross multiply
    5,931.75x = 8,897.64 × 1,827.75
  4. Step 4: Simplify right side
    5,931.75x = 16,262,661.51
  5. Step 5: Solve for x
    x = 16,262,661.51/5,931.75
  6. Step 6: Final answer
    x = 2,741.63

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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.