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Finding the Fourth Proportional to 9,847.65, 13,585.73 and 6,017.29

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Solution

The fourth proportional to 9,847.65, 13,585.73 and 6,017.29 is: 8,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.65 : 13,585.73 = 6,017.29 : x
  2. Step 2: Convert to fraction form
    9,847.65/13,585.73 = 6,017.29/x
  3. Step 3: Cross multiply
    9,847.65x = 13,585.73 × 6,017.29
  4. Step 4: Simplify right side
    9,847.65x = 81,749,277.27
  5. Step 5: Solve for x
    x = 81,749,277.27/9,847.65
  6. Step 6: Final answer
    x = 8,301.40

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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.