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Finding the Fourth Proportional to 13,413, 18,509.94 and 7,525

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Solution

The fourth proportional to 13,413, 18,509.94 and 7,525 is: 10,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413 : 18,509.94 = 7,525 : x
  2. Step 2: Convert to fraction form
    13,413/18,509.94 = 7,525/x
  3. Step 3: Cross multiply
    13,413x = 18,509.94 × 7,525
  4. Step 4: Simplify right side
    13,413x = 139,287,298.50
  5. Step 5: Solve for x
    x = 139,287,298.50/13,413
  6. Step 6: Final answer
    x = 10,384.50

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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.