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Finding the Fourth Proportional to 8,296.50, 11,449.35 and 4,570.50

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Solution

The fourth proportional to 8,296.50, 11,449.35 and 4,570.50 is: 6,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.50 : 11,449.35 = 4,570.50 : x
  2. Step 2: Convert to fraction form
    8,296.50/11,449.35 = 4,570.50/x
  3. Step 3: Cross multiply
    8,296.50x = 11,449.35 × 4,570.50
  4. Step 4: Simplify right side
    8,296.50x = 52,329,254.18
  5. Step 5: Solve for x
    x = 52,329,254.18/8,296.50
  6. Step 6: Final answer
    x = 6,307.39

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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.