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Finding the Fourth Proportional to 9,973.22, 14,842.09 and 9,641.01

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Solution

The fourth proportional to 9,973.22, 14,842.09 and 9,641.01 is: 14,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.22 : 14,842.09 = 9,641.01 : x
  2. Step 2: Convert to fraction form
    9,973.22/14,842.09 = 9,641.01/x
  3. Step 3: Cross multiply
    9,973.22x = 14,842.09 × 9,641.01
  4. Step 4: Simplify right side
    9,973.22x = 143,092,714.01
  5. Step 5: Solve for x
    x = 143,092,714.01/9,973.22
  6. Step 6: Final answer
    x = 14,347.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.