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Finding the Fourth Proportional to 4,663.72, 7,009.40 and 4,319.97

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Solution

The fourth proportional to 4,663.72, 7,009.40 and 4,319.97 is: 6,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.72 : 7,009.40 = 4,319.97 : x
  2. Step 2: Convert to fraction form
    4,663.72/7,009.40 = 4,319.97/x
  3. Step 3: Cross multiply
    4,663.72x = 7,009.40 × 4,319.97
  4. Step 4: Simplify right side
    4,663.72x = 30,280,341.07
  5. Step 5: Solve for x
    x = 30,280,341.07/4,663.72
  6. Step 6: Final answer
    x = 6,492.74

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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.