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Finding the Fourth Proportional to 9,873.04, 13,597.12 and 9,842.28

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Solution

The fourth proportional to 9,873.04, 13,597.12 and 9,842.28 is: 13,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.04 : 13,597.12 = 9,842.28 : x
  2. Step 2: Convert to fraction form
    9,873.04/13,597.12 = 9,842.28/x
  3. Step 3: Cross multiply
    9,873.04x = 13,597.12 × 9,842.28
  4. Step 4: Simplify right side
    9,873.04x = 133,826,662.23
  5. Step 5: Solve for x
    x = 133,826,662.23/9,873.04
  6. Step 6: Final answer
    x = 13,554.76

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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.