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Finding the Fourth Proportional to 13,466.59, 18,583.27 and 7,498.20

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Solution

The fourth proportional to 13,466.59, 18,583.27 and 7,498.20 is: 10,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.59 : 18,583.27 = 7,498.20 : x
  2. Step 2: Convert to fraction form
    13,466.59/18,583.27 = 7,498.20/x
  3. Step 3: Cross multiply
    13,466.59x = 18,583.27 × 7,498.20
  4. Step 4: Simplify right side
    13,466.59x = 139,341,075.11
  5. Step 5: Solve for x
    x = 139,341,075.11/13,466.59
  6. Step 6: Final answer
    x = 10,347.17

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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.