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Finding the Fourth Proportional to 9,574.86, 14,361.93 and 2,649.18

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Solution

The fourth proportional to 9,574.86, 14,361.93 and 2,649.18 is: 3,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.86 : 14,361.93 = 2,649.18 : x
  2. Step 2: Convert to fraction form
    9,574.86/14,361.93 = 2,649.18/x
  3. Step 3: Cross multiply
    9,574.86x = 14,361.93 × 2,649.18
  4. Step 4: Simplify right side
    9,574.86x = 38,047,337.72
  5. Step 5: Solve for x
    x = 38,047,337.72/9,574.86
  6. Step 6: Final answer
    x = 3,973.67

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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.