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Finding the Fourth Proportional to 5,653.96, 8,482.26 and 1,758.16

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Solution

The fourth proportional to 5,653.96, 8,482.26 and 1,758.16 is: 2,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.96 : 8,482.26 = 1,758.16 : x
  2. Step 2: Convert to fraction form
    5,653.96/8,482.26 = 1,758.16/x
  3. Step 3: Cross multiply
    5,653.96x = 8,482.26 × 1,758.16
  4. Step 4: Simplify right side
    5,653.96x = 14,913,170.24
  5. Step 5: Solve for x
    x = 14,913,170.24/5,653.96
  6. Step 6: Final answer
    x = 2,637.65

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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.