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Finding the Fourth Proportional to 13,696.32, 20,526.48 and 7,458.96

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Solution

The fourth proportional to 13,696.32, 20,526.48 and 7,458.96 is: 11,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.32 : 20,526.48 = 7,458.96 : x
  2. Step 2: Convert to fraction form
    13,696.32/20,526.48 = 7,458.96/x
  3. Step 3: Cross multiply
    13,696.32x = 20,526.48 × 7,458.96
  4. Step 4: Simplify right side
    13,696.32x = 153,106,193.26
  5. Step 5: Solve for x
    x = 153,106,193.26/13,696.32
  6. Step 6: Final answer
    x = 11,178.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.