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Finding the Fourth Proportional to 9,152.64, 13,703.01 and 6,023.23

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Solution

The fourth proportional to 9,152.64, 13,703.01 and 6,023.23 is: 9,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.64 : 13,703.01 = 6,023.23 : x
  2. Step 2: Convert to fraction form
    9,152.64/13,703.01 = 6,023.23/x
  3. Step 3: Cross multiply
    9,152.64x = 13,703.01 × 6,023.23
  4. Step 4: Simplify right side
    9,152.64x = 82,536,380.92
  5. Step 5: Solve for x
    x = 82,536,380.92/9,152.64
  6. Step 6: Final answer
    x = 9,017.77

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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.