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Finding the Fourth Proportional to 10,505.44, 14,503.44 and 6,973.48

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Solution

The fourth proportional to 10,505.44, 14,503.44 and 6,973.48 is: 9,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.44 : 14,503.44 = 6,973.48 : x
  2. Step 2: Convert to fraction form
    10,505.44/14,503.44 = 6,973.48/x
  3. Step 3: Cross multiply
    10,505.44x = 14,503.44 × 6,973.48
  4. Step 4: Simplify right side
    10,505.44x = 101,139,448.77
  5. Step 5: Solve for x
    x = 101,139,448.77/10,505.44
  6. Step 6: Final answer
    x = 9,627.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.