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Finding the Fourth Proportional to 7,054, 9,732.30 and 4,696.52

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Solution

The fourth proportional to 7,054, 9,732.30 and 4,696.52 is: 6,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054 : 9,732.30 = 4,696.52 : x
  2. Step 2: Convert to fraction form
    7,054/9,732.30 = 4,696.52/x
  3. Step 3: Cross multiply
    7,054x = 9,732.30 × 4,696.52
  4. Step 4: Simplify right side
    7,054x = 45,707,941.60
  5. Step 5: Solve for x
    x = 45,707,941.60/7,054
  6. Step 6: Final answer
    x = 6,479.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.