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Finding the Fourth Proportional to 10,804.35, 14,909.76 and 6,088.14

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Solution

The fourth proportional to 10,804.35, 14,909.76 and 6,088.14 is: 8,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.35 : 14,909.76 = 6,088.14 : x
  2. Step 2: Convert to fraction form
    10,804.35/14,909.76 = 6,088.14/x
  3. Step 3: Cross multiply
    10,804.35x = 14,909.76 × 6,088.14
  4. Step 4: Simplify right side
    10,804.35x = 90,772,706.25
  5. Step 5: Solve for x
    x = 90,772,706.25/10,804.35
  6. Step 6: Final answer
    x = 8,401.50

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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.