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Finding the Fourth Proportional to 6,306.06, 9,459.08 and 6,296.94

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Solution

The fourth proportional to 6,306.06, 9,459.08 and 6,296.94 is: 9,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.06 : 9,459.08 = 6,296.94 : x
  2. Step 2: Convert to fraction form
    6,306.06/9,459.08 = 6,296.94/x
  3. Step 3: Cross multiply
    6,306.06x = 9,459.08 × 6,296.94
  4. Step 4: Simplify right side
    6,306.06x = 59,563,259.22
  5. Step 5: Solve for x
    x = 59,563,259.22/6,306.06
  6. Step 6: Final answer
    x = 9,445.40

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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.