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Finding the Fourth Proportional to 10,604.80, 14,638.08 and 7,461.76

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Solution

The fourth proportional to 10,604.80, 14,638.08 and 7,461.76 is: 10,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.80 : 14,638.08 = 7,461.76 : x
  2. Step 2: Convert to fraction form
    10,604.80/14,638.08 = 7,461.76/x
  3. Step 3: Cross multiply
    10,604.80x = 14,638.08 × 7,461.76
  4. Step 4: Simplify right side
    10,604.80x = 109,225,839.82
  5. Step 5: Solve for x
    x = 109,225,839.82/10,604.80
  6. Step 6: Final answer
    x = 10,299.66

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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.