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Finding the Fourth Proportional to 6,509.63, 9,762.59 and 1,829.32

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Solution

The fourth proportional to 6,509.63, 9,762.59 and 1,829.32 is: 2,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.63 : 9,762.59 = 1,829.32 : x
  2. Step 2: Convert to fraction form
    6,509.63/9,762.59 = 1,829.32/x
  3. Step 3: Cross multiply
    6,509.63x = 9,762.59 × 1,829.32
  4. Step 4: Simplify right side
    6,509.63x = 17,858,881.31
  5. Step 5: Solve for x
    x = 17,858,881.31/6,509.63
  6. Step 6: Final answer
    x = 2,743.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.