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Finding the Fourth Proportional to 7,684.68, 10,610.09 and 5,888.98

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Solution

The fourth proportional to 7,684.68, 10,610.09 and 5,888.98 is: 8,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.68 : 10,610.09 = 5,888.98 : x
  2. Step 2: Convert to fraction form
    7,684.68/10,610.09 = 5,888.98/x
  3. Step 3: Cross multiply
    7,684.68x = 10,610.09 × 5,888.98
  4. Step 4: Simplify right side
    7,684.68x = 62,482,607.81
  5. Step 5: Solve for x
    x = 62,482,607.81/7,684.68
  6. Step 6: Final answer
    x = 8,130.80

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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.