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Finding the Fourth Proportional to 9,783.08, 13,498.20 and 5,804

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Solution

The fourth proportional to 9,783.08, 13,498.20 and 5,804 is: 8,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.08 : 13,498.20 = 5,804 : x
  2. Step 2: Convert to fraction form
    9,783.08/13,498.20 = 5,804/x
  3. Step 3: Cross multiply
    9,783.08x = 13,498.20 × 5,804
  4. Step 4: Simplify right side
    9,783.08x = 78,343,552.80
  5. Step 5: Solve for x
    x = 78,343,552.80/9,783.08
  6. Step 6: Final answer
    x = 8,008.07

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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.