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Finding the Fourth Proportional to 9,783.03, 14,663.52 and 4,856.19

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Solution

The fourth proportional to 9,783.03, 14,663.52 and 4,856.19 is: 7,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.03 : 14,663.52 = 4,856.19 : x
  2. Step 2: Convert to fraction form
    9,783.03/14,663.52 = 4,856.19/x
  3. Step 3: Cross multiply
    9,783.03x = 14,663.52 × 4,856.19
  4. Step 4: Simplify right side
    9,783.03x = 71,208,839.19
  5. Step 5: Solve for x
    x = 71,208,839.19/9,783.03
  6. Step 6: Final answer
    x = 7,278.81

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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.