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Finding the Fourth Proportional to 11,598.12, 16,005.16 and 6,562.16

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Solution

The fourth proportional to 11,598.12, 16,005.16 and 6,562.16 is: 9,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.12 : 16,005.16 = 6,562.16 : x
  2. Step 2: Convert to fraction form
    11,598.12/16,005.16 = 6,562.16/x
  3. Step 3: Cross multiply
    11,598.12x = 16,005.16 × 6,562.16
  4. Step 4: Simplify right side
    11,598.12x = 105,028,420.75
  5. Step 5: Solve for x
    x = 105,028,420.75/11,598.12
  6. Step 6: Final answer
    x = 9,055.64

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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.