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Finding the Fourth Proportional to 6,368.40, 9,549.12 and 3,410.32

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Solution

The fourth proportional to 6,368.40, 9,549.12 and 3,410.32 is: 5,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.40 : 9,549.12 = 3,410.32 : x
  2. Step 2: Convert to fraction form
    6,368.40/9,549.12 = 3,410.32/x
  3. Step 3: Cross multiply
    6,368.40x = 9,549.12 × 3,410.32
  4. Step 4: Simplify right side
    6,368.40x = 32,565,554.92
  5. Step 5: Solve for x
    x = 32,565,554.92/6,368.40
  6. Step 6: Final answer
    x = 5,113.62

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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.