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Finding the Fourth Proportional to 7,656.61, 11,483.01 and 2,109.68

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Solution

The fourth proportional to 7,656.61, 11,483.01 and 2,109.68 is: 3,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.61 : 11,483.01 = 2,109.68 : x
  2. Step 2: Convert to fraction form
    7,656.61/11,483.01 = 2,109.68/x
  3. Step 3: Cross multiply
    7,656.61x = 11,483.01 × 2,109.68
  4. Step 4: Simplify right side
    7,656.61x = 24,225,476.54
  5. Step 5: Solve for x
    x = 24,225,476.54/7,656.61
  6. Step 6: Final answer
    x = 3,164.00

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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.