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Finding the Fourth Proportional to 8,372.50, 11,554.19 and 4,646.50

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Solution

The fourth proportional to 8,372.50, 11,554.19 and 4,646.50 is: 6,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.50 : 11,554.19 = 4,646.50 : x
  2. Step 2: Convert to fraction form
    8,372.50/11,554.19 = 4,646.50/x
  3. Step 3: Cross multiply
    8,372.50x = 11,554.19 × 4,646.50
  4. Step 4: Simplify right side
    8,372.50x = 53,686,543.84
  5. Step 5: Solve for x
    x = 53,686,543.84/8,372.50
  6. Step 6: Final answer
    x = 6,412.25

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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.