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Finding the Fourth Proportional to 4,897.68, 7,346.76 and 1,975.62

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Solution

The fourth proportional to 4,897.68, 7,346.76 and 1,975.62 is: 2,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.68 : 7,346.76 = 1,975.62 : x
  2. Step 2: Convert to fraction form
    4,897.68/7,346.76 = 1,975.62/x
  3. Step 3: Cross multiply
    4,897.68x = 7,346.76 × 1,975.62
  4. Step 4: Simplify right side
    4,897.68x = 14,514,405.99
  5. Step 5: Solve for x
    x = 14,514,405.99/4,897.68
  6. Step 6: Final answer
    x = 2,963.53

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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.