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Finding the Fourth Proportional to 7,684.51, 11,463.09 and 7,457.91

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Solution

The fourth proportional to 7,684.51, 11,463.09 and 7,457.91 is: 11,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.51 : 11,463.09 = 7,457.91 : x
  2. Step 2: Convert to fraction form
    7,684.51/11,463.09 = 7,457.91/x
  3. Step 3: Cross multiply
    7,684.51x = 11,463.09 × 7,457.91
  4. Step 4: Simplify right side
    7,684.51x = 85,490,693.54
  5. Step 5: Solve for x
    x = 85,490,693.54/7,684.51
  6. Step 6: Final answer
    x = 11,125.07

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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.