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Finding the Fourth Proportional to 6,503.18, 8,971.88 and 4,512.74

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Solution

The fourth proportional to 6,503.18, 8,971.88 and 4,512.74 is: 6,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.18 : 8,971.88 = 4,512.74 : x
  2. Step 2: Convert to fraction form
    6,503.18/8,971.88 = 4,512.74/x
  3. Step 3: Cross multiply
    6,503.18x = 8,971.88 × 4,512.74
  4. Step 4: Simplify right side
    6,503.18x = 40,487,795.46
  5. Step 5: Solve for x
    x = 40,487,795.46/6,503.18
  6. Step 6: Final answer
    x = 6,225.84

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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.