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Finding the Fourth Proportional to 11,693.80, 16,140.90 and 7,503.40

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Solution

The fourth proportional to 11,693.80, 16,140.90 and 7,503.40 is: 10,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.80 : 16,140.90 = 7,503.40 : x
  2. Step 2: Convert to fraction form
    11,693.80/16,140.90 = 7,503.40/x
  3. Step 3: Cross multiply
    11,693.80x = 16,140.90 × 7,503.40
  4. Step 4: Simplify right side
    11,693.80x = 121,111,629.06
  5. Step 5: Solve for x
    x = 121,111,629.06/11,693.80
  6. Step 6: Final answer
    x = 10,356.91

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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.