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Finding the Fourth Proportional to 9,706.04, 13,393.74 and 5,728.40

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Solution

The fourth proportional to 9,706.04, 13,393.74 and 5,728.40 is: 7,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.04 : 13,393.74 = 5,728.40 : x
  2. Step 2: Convert to fraction form
    9,706.04/13,393.74 = 5,728.40/x
  3. Step 3: Cross multiply
    9,706.04x = 13,393.74 × 5,728.40
  4. Step 4: Simplify right side
    9,706.04x = 76,724,700.22
  5. Step 5: Solve for x
    x = 76,724,700.22/9,706.04
  6. Step 6: Final answer
    x = 7,904.84

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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.