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Finding the Fourth Proportional to 9,684.54, 14,526.81 and 3,842.46

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Solution

The fourth proportional to 9,684.54, 14,526.81 and 3,842.46 is: 5,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.54 : 14,526.81 = 3,842.46 : x
  2. Step 2: Convert to fraction form
    9,684.54/14,526.81 = 3,842.46/x
  3. Step 3: Cross multiply
    9,684.54x = 14,526.81 × 3,842.46
  4. Step 4: Simplify right side
    9,684.54x = 55,818,686.35
  5. Step 5: Solve for x
    x = 55,818,686.35/9,684.54
  6. Step 6: Final answer
    x = 5,763.69

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Half scale
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Double scale
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Similar ratio
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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.