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Finding the Fourth Proportional to 6,503.44, 8,971.98 and 4,145.08

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Solution

The fourth proportional to 6,503.44, 8,971.98 and 4,145.08 is: 5,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.44 : 8,971.98 = 4,145.08 : x
  2. Step 2: Convert to fraction form
    6,503.44/8,971.98 = 4,145.08/x
  3. Step 3: Cross multiply
    6,503.44x = 8,971.98 × 4,145.08
  4. Step 4: Simplify right side
    6,503.44x = 37,189,574.86
  5. Step 5: Solve for x
    x = 37,189,574.86/6,503.44
  6. Step 6: Final answer
    x = 5,718.45

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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.