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Finding the Fourth Proportional to 11,852.63, 16,354.47 and 7,658.45

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Solution

The fourth proportional to 11,852.63, 16,354.47 and 7,658.45 is: 10,567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.63 : 16,354.47 = 7,658.45 : x
  2. Step 2: Convert to fraction form
    11,852.63/16,354.47 = 7,658.45/x
  3. Step 3: Cross multiply
    11,852.63x = 16,354.47 × 7,658.45
  4. Step 4: Simplify right side
    11,852.63x = 125,249,809.00
  5. Step 5: Solve for x
    x = 125,249,809.00/11,852.63
  6. Step 6: Final answer
    x = 10,567.26

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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.