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Finding the Fourth Proportional to 10,907.80, 16,329.30 and 9,741.40

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Solution

The fourth proportional to 10,907.80, 16,329.30 and 9,741.40 is: 14,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.80 : 16,329.30 = 9,741.40 : x
  2. Step 2: Convert to fraction form
    10,907.80/16,329.30 = 9,741.40/x
  3. Step 3: Cross multiply
    10,907.80x = 16,329.30 × 9,741.40
  4. Step 4: Simplify right side
    10,907.80x = 159,070,243.02
  5. Step 5: Solve for x
    x = 159,070,243.02/10,907.80
  6. Step 6: Final answer
    x = 14,583.16

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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.