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Finding the Fourth Proportional to 17,741.60, 24,484 and 9,784.32

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Solution

The fourth proportional to 17,741.60, 24,484 and 9,784.32 is: 13,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.60 : 24,484 = 9,784.32 : x
  2. Step 2: Convert to fraction form
    17,741.60/24,484 = 9,784.32/x
  3. Step 3: Cross multiply
    17,741.60x = 24,484 × 9,784.32
  4. Step 4: Simplify right side
    17,741.60x = 239,559,290.88
  5. Step 5: Solve for x
    x = 239,559,290.88/17,741.60
  6. Step 6: Final answer
    x = 13,502.69

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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.