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Finding the Fourth Proportional to 6,307.12, 8,693.16 and 4,314.24

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Solution

The fourth proportional to 6,307.12, 8,693.16 and 4,314.24 is: 5,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.12 : 8,693.16 = 4,314.24 : x
  2. Step 2: Convert to fraction form
    6,307.12/8,693.16 = 4,314.24/x
  3. Step 3: Cross multiply
    6,307.12x = 8,693.16 × 4,314.24
  4. Step 4: Simplify right side
    6,307.12x = 37,504,378.60
  5. Step 5: Solve for x
    x = 37,504,378.60/6,307.12
  6. Step 6: Final answer
    x = 5,946.36

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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.