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Finding the Fourth Proportional to 13,813.94, 19,063.14 and 7,526.32

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Solution

The fourth proportional to 13,813.94, 19,063.14 and 7,526.32 is: 10,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.94 : 19,063.14 = 7,526.32 : x
  2. Step 2: Convert to fraction form
    13,813.94/19,063.14 = 7,526.32/x
  3. Step 3: Cross multiply
    13,813.94x = 19,063.14 × 7,526.32
  4. Step 4: Simplify right side
    13,813.94x = 143,475,291.84
  5. Step 5: Solve for x
    x = 143,475,291.84/13,813.94
  6. Step 6: Final answer
    x = 10,386.27

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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.