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Finding the Fourth Proportional to 9,842.23, 14,746.94 and 7,064.74

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Solution

The fourth proportional to 9,842.23, 14,746.94 and 7,064.74 is: 10,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.23 : 14,746.94 = 7,064.74 : x
  2. Step 2: Convert to fraction form
    9,842.23/14,746.94 = 7,064.74/x
  3. Step 3: Cross multiply
    9,842.23x = 14,746.94 × 7,064.74
  4. Step 4: Simplify right side
    9,842.23x = 104,183,296.90
  5. Step 5: Solve for x
    x = 104,183,296.90/9,842.23
  6. Step 6: Final answer
    x = 10,585.33

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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.