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Finding the Fourth Proportional to 10,589.58, 14,602.23 and 8,929.26

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Solution

The fourth proportional to 10,589.58, 14,602.23 and 8,929.26 is: 12,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.58 : 14,602.23 = 8,929.26 : x
  2. Step 2: Convert to fraction form
    10,589.58/14,602.23 = 8,929.26/x
  3. Step 3: Cross multiply
    10,589.58x = 14,602.23 × 8,929.26
  4. Step 4: Simplify right side
    10,589.58x = 130,387,108.25
  5. Step 5: Solve for x
    x = 130,387,108.25/10,589.58
  6. Step 6: Final answer
    x = 12,312.77

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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.