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Finding the Fourth Proportional to 7,588.76, 10,468.80 and 5,907.20

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Solution

The fourth proportional to 7,588.76, 10,468.80 and 5,907.20 is: 8,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.76 : 10,468.80 = 5,907.20 : x
  2. Step 2: Convert to fraction form
    7,588.76/10,468.80 = 5,907.20/x
  3. Step 3: Cross multiply
    7,588.76x = 10,468.80 × 5,907.20
  4. Step 4: Simplify right side
    7,588.76x = 61,841,295.36
  5. Step 5: Solve for x
    x = 61,841,295.36/7,588.76
  6. Step 6: Final answer
    x = 8,149.06

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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.