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Finding the Fourth Proportional to 10,706.80, 16,055.40 and 4,860.40

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Solution

The fourth proportional to 10,706.80, 16,055.40 and 4,860.40 is: 7,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.80 : 16,055.40 = 4,860.40 : x
  2. Step 2: Convert to fraction form
    10,706.80/16,055.40 = 4,860.40/x
  3. Step 3: Cross multiply
    10,706.80x = 16,055.40 × 4,860.40
  4. Step 4: Simplify right side
    10,706.80x = 78,035,666.16
  5. Step 5: Solve for x
    x = 78,035,666.16/10,706.80
  6. Step 6: Final answer
    x = 7,288.42

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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.