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Finding the Fourth Proportional to 4,971.17, 7,455.16 and 4,643.58

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Solution

The fourth proportional to 4,971.17, 7,455.16 and 4,643.58 is: 6,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.17 : 7,455.16 = 4,643.58 : x
  2. Step 2: Convert to fraction form
    4,971.17/7,455.16 = 4,643.58/x
  3. Step 3: Cross multiply
    4,971.17x = 7,455.16 × 4,643.58
  4. Step 4: Simplify right side
    4,971.17x = 34,618,636.76
  5. Step 5: Solve for x
    x = 34,618,636.76/4,971.17
  6. Step 6: Final answer
    x = 6,963.88

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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.