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Finding the Fourth Proportional to 7,549.76, 10,415.04 and 5,868.20

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Solution

The fourth proportional to 7,549.76, 10,415.04 and 5,868.20 is: 8,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.76 : 10,415.04 = 5,868.20 : x
  2. Step 2: Convert to fraction form
    7,549.76/10,415.04 = 5,868.20/x
  3. Step 3: Cross multiply
    7,549.76x = 10,415.04 × 5,868.20
  4. Step 4: Simplify right side
    7,549.76x = 61,117,537.73
  5. Step 5: Solve for x
    x = 61,117,537.73/7,549.76
  6. Step 6: Final answer
    x = 8,095.30

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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.