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Finding the Fourth Proportional to 34,706.44, 52,053.80 and 9,740.76

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Solution

The fourth proportional to 34,706.44, 52,053.80 and 9,740.76 is: 14,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.44 : 52,053.80 = 9,740.76 : x
  2. Step 2: Convert to fraction form
    34,706.44/52,053.80 = 9,740.76/x
  3. Step 3: Cross multiply
    34,706.44x = 52,053.80 × 9,740.76
  4. Step 4: Simplify right side
    34,706.44x = 507,043,572.89
  5. Step 5: Solve for x
    x = 507,043,572.89/34,706.44
  6. Step 6: Final answer
    x = 14,609.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.