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Finding the Fourth Proportional to 8,530.66, 11,764.20 and 5,543.08

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Solution

The fourth proportional to 8,530.66, 11,764.20 and 5,543.08 is: 7,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.66 : 11,764.20 = 5,543.08 : x
  2. Step 2: Convert to fraction form
    8,530.66/11,764.20 = 5,543.08/x
  3. Step 3: Cross multiply
    8,530.66x = 11,764.20 × 5,543.08
  4. Step 4: Simplify right side
    8,530.66x = 65,209,901.74
  5. Step 5: Solve for x
    x = 65,209,901.74/8,530.66
  6. Step 6: Final answer
    x = 7,644.18

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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.