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Finding the Fourth Proportional to 6,500.32, 8,971.28 and 4,264.08

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Solution

The fourth proportional to 6,500.32, 8,971.28 and 4,264.08 is: 5,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.32 : 8,971.28 = 4,264.08 : x
  2. Step 2: Convert to fraction form
    6,500.32/8,971.28 = 4,264.08/x
  3. Step 3: Cross multiply
    6,500.32x = 8,971.28 × 4,264.08
  4. Step 4: Simplify right side
    6,500.32x = 38,254,255.62
  5. Step 5: Solve for x
    x = 38,254,255.62/6,500.32
  6. Step 6: Final answer
    x = 5,884.98

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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.