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Finding the Fourth Proportional to 11,574.37, 15,973.62 and 6,539.52

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Solution

The fourth proportional to 11,574.37, 15,973.62 and 6,539.52 is: 9,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.37 : 15,973.62 = 6,539.52 : x
  2. Step 2: Convert to fraction form
    11,574.37/15,973.62 = 6,539.52/x
  3. Step 3: Cross multiply
    11,574.37x = 15,973.62 × 6,539.52
  4. Step 4: Simplify right side
    11,574.37x = 104,459,807.46
  5. Step 5: Solve for x
    x = 104,459,807.46/11,574.37
  6. Step 6: Final answer
    x = 9,025.10

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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.