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Finding the Fourth Proportional to 9,703.25, 14,556.63 and 6,419.06

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Solution

The fourth proportional to 9,703.25, 14,556.63 and 6,419.06 is: 9,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.25 : 14,556.63 = 6,419.06 : x
  2. Step 2: Convert to fraction form
    9,703.25/14,556.63 = 6,419.06/x
  3. Step 3: Cross multiply
    9,703.25x = 14,556.63 × 6,419.06
  4. Step 4: Simplify right side
    9,703.25x = 93,439,881.37
  5. Step 5: Solve for x
    x = 93,439,881.37/9,703.25
  6. Step 6: Final answer
    x = 9,629.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.