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Finding the Fourth Proportional to 9,860.82, 14,783.40 and 4,927.92

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Solution

The fourth proportional to 9,860.82, 14,783.40 and 4,927.92 is: 7,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.82 : 14,783.40 = 4,927.92 : x
  2. Step 2: Convert to fraction form
    9,860.82/14,783.40 = 4,927.92/x
  3. Step 3: Cross multiply
    9,860.82x = 14,783.40 × 4,927.92
  4. Step 4: Simplify right side
    9,860.82x = 72,851,412.53
  5. Step 5: Solve for x
    x = 72,851,412.53/9,860.82
  6. Step 6: Final answer
    x = 7,387.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.