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Finding the Fourth Proportional to 10,339, 14,267.49 and 6,089.08

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Solution

The fourth proportional to 10,339, 14,267.49 and 6,089.08 is: 8,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339 : 14,267.49 = 6,089.08 : x
  2. Step 2: Convert to fraction form
    10,339/14,267.49 = 6,089.08/x
  3. Step 3: Cross multiply
    10,339x = 14,267.49 × 6,089.08
  4. Step 4: Simplify right side
    10,339x = 86,875,888.01
  5. Step 5: Solve for x
    x = 86,875,888.01/10,339
  6. Step 6: Final answer
    x = 8,402.74

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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.