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Finding the Fourth Proportional to 9,301.83, 12,798.43 and 8,038.83

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Solution

The fourth proportional to 9,301.83, 12,798.43 and 8,038.83 is: 11,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.83 : 12,798.43 = 8,038.83 : x
  2. Step 2: Convert to fraction form
    9,301.83/12,798.43 = 8,038.83/x
  3. Step 3: Cross multiply
    9,301.83x = 12,798.43 × 8,038.83
  4. Step 4: Simplify right side
    9,301.83x = 102,884,403.04
  5. Step 5: Solve for x
    x = 102,884,403.04/9,301.83
  6. Step 6: Final answer
    x = 11,060.66

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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.