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Finding the Fourth Proportional to 6,497.76, 8,971 and 5,002.86

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Solution

The fourth proportional to 6,497.76, 8,971 and 5,002.86 is: 6,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.76 : 8,971 = 5,002.86 : x
  2. Step 2: Convert to fraction form
    6,497.76/8,971 = 5,002.86/x
  3. Step 3: Cross multiply
    6,497.76x = 8,971 × 5,002.86
  4. Step 4: Simplify right side
    6,497.76x = 44,880,657.06
  5. Step 5: Solve for x
    x = 44,880,657.06/6,497.76
  6. Step 6: Final answer
    x = 6,907.10

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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.