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Finding the Fourth Proportional to 8,461.68, 11,677.50 and 4,735.68

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Solution

The fourth proportional to 8,461.68, 11,677.50 and 4,735.68 is: 6,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.68 : 11,677.50 = 4,735.68 : x
  2. Step 2: Convert to fraction form
    8,461.68/11,677.50 = 4,735.68/x
  3. Step 3: Cross multiply
    8,461.68x = 11,677.50 × 4,735.68
  4. Step 4: Simplify right side
    8,461.68x = 55,300,903.20
  5. Step 5: Solve for x
    x = 55,300,903.20/8,461.68
  6. Step 6: Final answer
    x = 6,535.45

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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.