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Finding the Fourth Proportional to 11,448.41, 15,798.81 and 6,972.16

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Solution

The fourth proportional to 11,448.41, 15,798.81 and 6,972.16 is: 9,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.41 : 15,798.81 = 6,972.16 : x
  2. Step 2: Convert to fraction form
    11,448.41/15,798.81 = 6,972.16/x
  3. Step 3: Cross multiply
    11,448.41x = 15,798.81 × 6,972.16
  4. Step 4: Simplify right side
    11,448.41x = 110,151,870.63
  5. Step 5: Solve for x
    x = 110,151,870.63/11,448.41
  6. Step 6: Final answer
    x = 9,621.58

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Double scale
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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.