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Finding the Fourth Proportional to 14,090.40, 19,444.51 and 7,802.64

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Solution

The fourth proportional to 14,090.40, 19,444.51 and 7,802.64 is: 10,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.40 : 19,444.51 = 7,802.64 : x
  2. Step 2: Convert to fraction form
    14,090.40/19,444.51 = 7,802.64/x
  3. Step 3: Cross multiply
    14,090.40x = 19,444.51 × 7,802.64
  4. Step 4: Simplify right side
    14,090.40x = 151,718,375.27
  5. Step 5: Solve for x
    x = 151,718,375.27/14,090.40
  6. Step 6: Final answer
    x = 10,767.50

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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.