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Finding the Fourth Proportional to 9,686.56, 13,364.40 and 5,706.40

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Solution

The fourth proportional to 9,686.56, 13,364.40 and 5,706.40 is: 7,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.56 : 13,364.40 = 5,706.40 : x
  2. Step 2: Convert to fraction form
    9,686.56/13,364.40 = 5,706.40/x
  3. Step 3: Cross multiply
    9,686.56x = 13,364.40 × 5,706.40
  4. Step 4: Simplify right side
    9,686.56x = 76,262,612.16
  5. Step 5: Solve for x
    x = 76,262,612.16/9,686.56
  6. Step 6: Final answer
    x = 7,873.03

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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.