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Finding the Fourth Proportional to 4,671.34, 6,972.81 and 4,117.77

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Solution

The fourth proportional to 4,671.34, 6,972.81 and 4,117.77 is: 6,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.34 : 6,972.81 = 4,117.77 : x
  2. Step 2: Convert to fraction form
    4,671.34/6,972.81 = 4,117.77/x
  3. Step 3: Cross multiply
    4,671.34x = 6,972.81 × 4,117.77
  4. Step 4: Simplify right side
    4,671.34x = 28,712,427.83
  5. Step 5: Solve for x
    x = 28,712,427.83/4,671.34
  6. Step 6: Final answer
    x = 6,146.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.