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Finding the Fourth Proportional to 4,975.47, 7,463.70 and 1,688.82

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Solution

The fourth proportional to 4,975.47, 7,463.70 and 1,688.82 is: 2,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.47 : 7,463.70 = 1,688.82 : x
  2. Step 2: Convert to fraction form
    4,975.47/7,463.70 = 1,688.82/x
  3. Step 3: Cross multiply
    4,975.47x = 7,463.70 × 1,688.82
  4. Step 4: Simplify right side
    4,975.47x = 12,604,845.83
  5. Step 5: Solve for x
    x = 12,604,845.83/4,975.47
  6. Step 6: Final answer
    x = 2,533.40

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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.