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Finding the Fourth Proportional to 9,482.52, 14,224.04 and 2,557

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Solution

The fourth proportional to 9,482.52, 14,224.04 and 2,557 is: 3,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.52 : 14,224.04 = 2,557 : x
  2. Step 2: Convert to fraction form
    9,482.52/14,224.04 = 2,557/x
  3. Step 3: Cross multiply
    9,482.52x = 14,224.04 × 2,557
  4. Step 4: Simplify right side
    9,482.52x = 36,370,870.28
  5. Step 5: Solve for x
    x = 36,370,870.28/9,482.52
  6. Step 6: Final answer
    x = 3,835.57

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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.