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Finding the Fourth Proportional to 7,051.48, 9,730.74 and 3,907.48

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Solution

The fourth proportional to 7,051.48, 9,730.74 and 3,907.48 is: 5,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.48 : 9,730.74 = 3,907.48 : x
  2. Step 2: Convert to fraction form
    7,051.48/9,730.74 = 3,907.48/x
  3. Step 3: Cross multiply
    7,051.48x = 9,730.74 × 3,907.48
  4. Step 4: Simplify right side
    7,051.48x = 38,022,671.94
  5. Step 5: Solve for x
    x = 38,022,671.94/7,051.48
  6. Step 6: Final answer
    x = 5,392.15

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1.5x scale

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.