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Finding the Fourth Proportional to 13,597.09, 18,764.93 and 7,547.64

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Solution

The fourth proportional to 13,597.09, 18,764.93 and 7,547.64 is: 10,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.09 : 18,764.93 = 7,547.64 : x
  2. Step 2: Convert to fraction form
    13,597.09/18,764.93 = 7,547.64/x
  3. Step 3: Cross multiply
    13,597.09x = 18,764.93 × 7,547.64
  4. Step 4: Simplify right side
    13,597.09x = 141,630,936.27
  5. Step 5: Solve for x
    x = 141,630,936.27/13,597.09
  6. Step 6: Final answer
    x = 10,416.27

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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.