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Finding the Fourth Proportional to 7,564.80, 10,428.64 and 5,883.24

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Solution

The fourth proportional to 7,564.80, 10,428.64 and 5,883.24 is: 8,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.80 : 10,428.64 = 5,883.24 : x
  2. Step 2: Convert to fraction form
    7,564.80/10,428.64 = 5,883.24/x
  3. Step 3: Cross multiply
    7,564.80x = 10,428.64 × 5,883.24
  4. Step 4: Simplify right side
    7,564.80x = 61,354,191.99
  5. Step 5: Solve for x
    x = 61,354,191.99/7,564.80
  6. Step 6: Final answer
    x = 8,110.48

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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.