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Finding the Fourth Proportional to 9,814.58, 14,721.06 and 4,548.50

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Solution

The fourth proportional to 9,814.58, 14,721.06 and 4,548.50 is: 6,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.58 : 14,721.06 = 4,548.50 : x
  2. Step 2: Convert to fraction form
    9,814.58/14,721.06 = 4,548.50/x
  3. Step 3: Cross multiply
    9,814.58x = 14,721.06 × 4,548.50
  4. Step 4: Simplify right side
    9,814.58x = 66,958,741.41
  5. Step 5: Solve for x
    x = 66,958,741.41/9,814.58
  6. Step 6: Final answer
    x = 6,822.37

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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.