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Finding the Fourth Proportional to 6,497.72, 8,970.96 and 5,002.84

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Solution

The fourth proportional to 6,497.72, 8,970.96 and 5,002.84 is: 6,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.72 : 8,970.96 = 5,002.84 : x
  2. Step 2: Convert to fraction form
    6,497.72/8,970.96 = 5,002.84/x
  3. Step 3: Cross multiply
    6,497.72x = 8,970.96 × 5,002.84
  4. Step 4: Simplify right side
    6,497.72x = 44,880,277.53
  5. Step 5: Solve for x
    x = 44,880,277.53/6,497.72
  6. Step 6: Final answer
    x = 6,907.08

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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.