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Finding the Fourth Proportional to 9,597, 13,243.86 and 5,405.34

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Solution

The fourth proportional to 9,597, 13,243.86 and 5,405.34 is: 7,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597 : 13,243.86 = 5,405.34 : x
  2. Step 2: Convert to fraction form
    9,597/13,243.86 = 5,405.34/x
  3. Step 3: Cross multiply
    9,597x = 13,243.86 × 5,405.34
  4. Step 4: Simplify right side
    9,597x = 71,587,566.21
  5. Step 5: Solve for x
    x = 71,587,566.21/9,597
  6. Step 6: Final answer
    x = 7,459.37

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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.