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Finding the Fourth Proportional to 10,434.80, 15,619.80 and 9,851.60

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Solution

The fourth proportional to 10,434.80, 15,619.80 and 9,851.60 is: 14,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.80 : 15,619.80 = 9,851.60 : x
  2. Step 2: Convert to fraction form
    10,434.80/15,619.80 = 9,851.60/x
  3. Step 3: Cross multiply
    10,434.80x = 15,619.80 × 9,851.60
  4. Step 4: Simplify right side
    10,434.80x = 153,880,021.68
  5. Step 5: Solve for x
    x = 153,880,021.68/10,434.80
  6. Step 6: Final answer
    x = 14,746.81

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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.