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Finding the Fourth Proportional to 10,701.30, 16,038.98 and 9,405.30

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Solution

The fourth proportional to 10,701.30, 16,038.98 and 9,405.30 is: 14,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.30 : 16,038.98 = 9,405.30 : x
  2. Step 2: Convert to fraction form
    10,701.30/16,038.98 = 9,405.30/x
  3. Step 3: Cross multiply
    10,701.30x = 16,038.98 × 9,405.30
  4. Step 4: Simplify right side
    10,701.30x = 150,851,418.59
  5. Step 5: Solve for x
    x = 150,851,418.59/10,701.30
  6. Step 6: Final answer
    x = 14,096.55

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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.