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Finding the Fourth Proportional to 9,782.68, 13,499.93 and 5,533.58

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Solution

The fourth proportional to 9,782.68, 13,499.93 and 5,533.58 is: 7,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.68 : 13,499.93 = 5,533.58 : x
  2. Step 2: Convert to fraction form
    9,782.68/13,499.93 = 5,533.58/x
  3. Step 3: Cross multiply
    9,782.68x = 13,499.93 × 5,533.58
  4. Step 4: Simplify right side
    9,782.68x = 74,702,948.73
  5. Step 5: Solve for x
    x = 74,702,948.73/9,782.68
  6. Step 6: Final answer
    x = 7,636.24

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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.