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Finding the Fourth Proportional to 9,482, 14,224.35 and 5,038.51

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Solution

The fourth proportional to 9,482, 14,224.35 and 5,038.51 is: 7,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482 : 14,224.35 = 5,038.51 : x
  2. Step 2: Convert to fraction form
    9,482/14,224.35 = 5,038.51/x
  3. Step 3: Cross multiply
    9,482x = 14,224.35 × 5,038.51
  4. Step 4: Simplify right side
    9,482x = 71,669,458.60
  5. Step 5: Solve for x
    x = 71,669,458.60/9,482
  6. Step 6: Final answer
    x = 7,558.47

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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.