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Finding the Fourth Proportional to 9,842.16, 14,763.06 and 6,933.42

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Solution

The fourth proportional to 9,842.16, 14,763.06 and 6,933.42 is: 10,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.16 : 14,763.06 = 6,933.42 : x
  2. Step 2: Convert to fraction form
    9,842.16/14,763.06 = 6,933.42/x
  3. Step 3: Cross multiply
    9,842.16x = 14,763.06 × 6,933.42
  4. Step 4: Simplify right side
    9,842.16x = 102,358,495.47
  5. Step 5: Solve for x
    x = 102,358,495.47/9,842.16
  6. Step 6: Final answer
    x = 10,400.00

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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.