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Finding the Fourth Proportional to 9,707.54, 13,394.12 and 7,050.34

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Solution

The fourth proportional to 9,707.54, 13,394.12 and 7,050.34 is: 9,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.54 : 13,394.12 = 7,050.34 : x
  2. Step 2: Convert to fraction form
    9,707.54/13,394.12 = 7,050.34/x
  3. Step 3: Cross multiply
    9,707.54x = 13,394.12 × 7,050.34
  4. Step 4: Simplify right side
    9,707.54x = 94,433,100.00
  5. Step 5: Solve for x
    x = 94,433,100.00/9,707.54
  6. Step 6: Final answer
    x = 9,727.81

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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.