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Finding the Fourth Proportional to 3,503.16, 4,827.71 and 2,506.71

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Solution

The fourth proportional to 3,503.16, 4,827.71 and 2,506.71 is: 3,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.16 : 4,827.71 = 2,506.71 : x
  2. Step 2: Convert to fraction form
    3,503.16/4,827.71 = 2,506.71/x
  3. Step 3: Cross multiply
    3,503.16x = 4,827.71 × 2,506.71
  4. Step 4: Simplify right side
    3,503.16x = 12,101,668.93
  5. Step 5: Solve for x
    x = 12,101,668.93/3,503.16
  6. Step 6: Final answer
    x = 3,454.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.