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Finding the Fourth Proportional to 11,804.60, 16,290.24 and 6,499.32

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Solution

The fourth proportional to 11,804.60, 16,290.24 and 6,499.32 is: 8,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.60 : 16,290.24 = 6,499.32 : x
  2. Step 2: Convert to fraction form
    11,804.60/16,290.24 = 6,499.32/x
  3. Step 3: Cross multiply
    11,804.60x = 16,290.24 × 6,499.32
  4. Step 4: Simplify right side
    11,804.60x = 105,875,482.64
  5. Step 5: Solve for x
    x = 105,875,482.64/11,804.60
  6. Step 6: Final answer
    x = 8,969.00

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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.