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Finding the Fourth Proportional to 9,657.34, 14,486.01 and 4,462.54

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Solution

The fourth proportional to 9,657.34, 14,486.01 and 4,462.54 is: 6,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.34 : 14,486.01 = 4,462.54 : x
  2. Step 2: Convert to fraction form
    9,657.34/14,486.01 = 4,462.54/x
  3. Step 3: Cross multiply
    9,657.34x = 14,486.01 × 4,462.54
  4. Step 4: Simplify right side
    9,657.34x = 64,644,399.07
  5. Step 5: Solve for x
    x = 64,644,399.07/9,657.34
  6. Step 6: Final answer
    x = 6,693.81

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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.