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Finding the Fourth Proportional to 7,569.02, 11,347.86 and 5,096.90

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Solution

The fourth proportional to 7,569.02, 11,347.86 and 5,096.90 is: 7,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.02 : 11,347.86 = 5,096.90 : x
  2. Step 2: Convert to fraction form
    7,569.02/11,347.86 = 5,096.90/x
  3. Step 3: Cross multiply
    7,569.02x = 11,347.86 × 5,096.90
  4. Step 4: Simplify right side
    7,569.02x = 57,838,907.63
  5. Step 5: Solve for x
    x = 57,838,907.63/7,569.02
  6. Step 6: Final answer
    x = 7,641.53

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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.