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Finding the Fourth Proportional to 8,430.51, 11,633.22 and 4,653.90

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Solution

The fourth proportional to 8,430.51, 11,633.22 and 4,653.90 is: 6,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.51 : 11,633.22 = 4,653.90 : x
  2. Step 2: Convert to fraction form
    8,430.51/11,633.22 = 4,653.90/x
  3. Step 3: Cross multiply
    8,430.51x = 11,633.22 × 4,653.90
  4. Step 4: Simplify right side
    8,430.51x = 54,139,842.56
  5. Step 5: Solve for x
    x = 54,139,842.56/8,430.51
  6. Step 6: Final answer
    x = 6,421.89

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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.