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Finding the Fourth Proportional to 10,585.57, 14,607.95 and 6,109.22

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Solution

The fourth proportional to 10,585.57, 14,607.95 and 6,109.22 is: 8,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.57 : 14,607.95 = 6,109.22 : x
  2. Step 2: Convert to fraction form
    10,585.57/14,607.95 = 6,109.22/x
  3. Step 3: Cross multiply
    10,585.57x = 14,607.95 × 6,109.22
  4. Step 4: Simplify right side
    10,585.57x = 89,243,232.09
  5. Step 5: Solve for x
    x = 89,243,232.09/10,585.57
  6. Step 6: Final answer
    x = 8,430.65

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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.