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Finding the Fourth Proportional to 11,543.60, 15,929.97 and 6,507.83

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Solution

The fourth proportional to 11,543.60, 15,929.97 and 6,507.83 is: 8,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.60 : 15,929.97 = 6,507.83 : x
  2. Step 2: Convert to fraction form
    11,543.60/15,929.97 = 6,507.83/x
  3. Step 3: Cross multiply
    11,543.60x = 15,929.97 × 6,507.83
  4. Step 4: Simplify right side
    11,543.60x = 103,669,457.02
  5. Step 5: Solve for x
    x = 103,669,457.02/11,543.60
  6. Step 6: Final answer
    x = 8,980.69

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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.