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Finding the Fourth Proportional to 6,513.76, 9,774.16 and 4,323.52

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Solution

The fourth proportional to 6,513.76, 9,774.16 and 4,323.52 is: 6,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.76 : 9,774.16 = 4,323.52 : x
  2. Step 2: Convert to fraction form
    6,513.76/9,774.16 = 4,323.52/x
  3. Step 3: Cross multiply
    6,513.76x = 9,774.16 × 4,323.52
  4. Step 4: Simplify right side
    6,513.76x = 42,258,776.24
  5. Step 5: Solve for x
    x = 42,258,776.24/6,513.76
  6. Step 6: Final answer
    x = 6,487.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.