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Finding the Fourth Proportional to 4,626.71, 6,384.71 and 2,530.70

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Solution

The fourth proportional to 4,626.71, 6,384.71 and 2,530.70 is: 3,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.71 : 6,384.71 = 2,530.70 : x
  2. Step 2: Convert to fraction form
    4,626.71/6,384.71 = 2,530.70/x
  3. Step 3: Cross multiply
    4,626.71x = 6,384.71 × 2,530.70
  4. Step 4: Simplify right side
    4,626.71x = 16,157,741.02
  5. Step 5: Solve for x
    x = 16,157,741.02/4,626.71
  6. Step 6: Final answer
    x = 3,492.28

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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.