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Finding the Fourth Proportional to 7,263.43, 10,006.25 and 6,827.40

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Solution

The fourth proportional to 7,263.43, 10,006.25 and 6,827.40 is: 9,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.43 : 10,006.25 = 6,827.40 : x
  2. Step 2: Convert to fraction form
    7,263.43/10,006.25 = 6,827.40/x
  3. Step 3: Cross multiply
    7,263.43x = 10,006.25 × 6,827.40
  4. Step 4: Simplify right side
    7,263.43x = 68,316,688.32
  5. Step 5: Solve for x
    x = 68,316,688.32/7,263.43
  6. Step 6: Final answer
    x = 9,405.57

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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.