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Finding the Fourth Proportional to 9,706.56, 13,403.52 and 7,607.04

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Solution

The fourth proportional to 9,706.56, 13,403.52 and 7,607.04 is: 10,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.56 : 13,403.52 = 7,607.04 : x
  2. Step 2: Convert to fraction form
    9,706.56/13,403.52 = 7,607.04/x
  3. Step 3: Cross multiply
    9,706.56x = 13,403.52 × 7,607.04
  4. Step 4: Simplify right side
    9,706.56x = 101,961,112.78
  5. Step 5: Solve for x
    x = 101,961,112.78/9,706.56
  6. Step 6: Final answer
    x = 10,504.35

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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.