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Finding the Fourth Proportional to 14,091, 19,444.80 and 7,802.88

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Solution

The fourth proportional to 14,091, 19,444.80 and 7,802.88 is: 10,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091 : 19,444.80 = 7,802.88 : x
  2. Step 2: Convert to fraction form
    14,091/19,444.80 = 7,802.88/x
  3. Step 3: Cross multiply
    14,091x = 19,444.80 × 7,802.88
  4. Step 4: Simplify right side
    14,091x = 151,725,441.02
  5. Step 5: Solve for x
    x = 151,725,441.02/14,091
  6. Step 6: Final answer
    x = 10,767.54

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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.