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Finding the Fourth Proportional to 9,783.12, 13,501.08 and 5,806.32

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Solution

The fourth proportional to 9,783.12, 13,501.08 and 5,806.32 is: 8,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.12 : 13,501.08 = 5,806.32 : x
  2. Step 2: Convert to fraction form
    9,783.12/13,501.08 = 5,806.32/x
  3. Step 3: Cross multiply
    9,783.12x = 13,501.08 × 5,806.32
  4. Step 4: Simplify right side
    9,783.12x = 78,391,590.83
  5. Step 5: Solve for x
    x = 78,391,590.83/9,783.12
  6. Step 6: Final answer
    x = 8,012.94

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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.