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Finding the Fourth Proportional to 9,708.54, 13,380.02 and 7,051.33

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Solution

The fourth proportional to 9,708.54, 13,380.02 and 7,051.33 is: 9,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.54 : 13,380.02 = 7,051.33 : x
  2. Step 2: Convert to fraction form
    9,708.54/13,380.02 = 7,051.33/x
  3. Step 3: Cross multiply
    9,708.54x = 13,380.02 × 7,051.33
  4. Step 4: Simplify right side
    9,708.54x = 94,346,901.17
  5. Step 5: Solve for x
    x = 94,346,901.17/9,708.54
  6. Step 6: Final answer
    x = 9,717.93

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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.