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Finding the Fourth Proportional to 8,133, 11,222.64 and 4,595.46

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Solution

The fourth proportional to 8,133, 11,222.64 and 4,595.46 is: 6,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133 : 11,222.64 = 4,595.46 : x
  2. Step 2: Convert to fraction form
    8,133/11,222.64 = 4,595.46/x
  3. Step 3: Cross multiply
    8,133x = 11,222.64 × 4,595.46
  4. Step 4: Simplify right side
    8,133x = 51,573,193.21
  5. Step 5: Solve for x
    x = 51,573,193.21/8,133
  6. Step 6: Final answer
    x = 6,341.23

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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.