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Finding the Fourth Proportional to 9,795.71, 13,516.50 and 6,017.66

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Solution

The fourth proportional to 9,795.71, 13,516.50 and 6,017.66 is: 8,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.71 : 13,516.50 = 6,017.66 : x
  2. Step 2: Convert to fraction form
    9,795.71/13,516.50 = 6,017.66/x
  3. Step 3: Cross multiply
    9,795.71x = 13,516.50 × 6,017.66
  4. Step 4: Simplify right side
    9,795.71x = 81,337,701.39
  5. Step 5: Solve for x
    x = 81,337,701.39/9,795.71
  6. Step 6: Final answer
    x = 8,303.40

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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.