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Finding the Fourth Proportional to 13,077.58, 18,047 and 7,703.14

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Solution

The fourth proportional to 13,077.58, 18,047 and 7,703.14 is: 10,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.58 : 18,047 = 7,703.14 : x
  2. Step 2: Convert to fraction form
    13,077.58/18,047 = 7,703.14/x
  3. Step 3: Cross multiply
    13,077.58x = 18,047 × 7,703.14
  4. Step 4: Simplify right side
    13,077.58x = 139,018,567.58
  5. Step 5: Solve for x
    x = 139,018,567.58/13,077.58
  6. Step 6: Final answer
    x = 10,630.30

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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.