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Finding the Fourth Proportional to 9,329.48, 14,045.30 and 8,513

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Solution

The fourth proportional to 9,329.48, 14,045.30 and 8,513 is: 12,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.48 : 14,045.30 = 8,513 : x
  2. Step 2: Convert to fraction form
    9,329.48/14,045.30 = 8,513/x
  3. Step 3: Cross multiply
    9,329.48x = 14,045.30 × 8,513
  4. Step 4: Simplify right side
    9,329.48x = 119,567,638.90
  5. Step 5: Solve for x
    x = 119,567,638.90/9,329.48
  6. Step 6: Final answer
    x = 12,816.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.