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Finding the Fourth Proportional to 10,653.66, 14,703.48 and 6,178.80

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Solution

The fourth proportional to 10,653.66, 14,703.48 and 6,178.80 is: 8,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.66 : 14,703.48 = 6,178.80 : x
  2. Step 2: Convert to fraction form
    10,653.66/14,703.48 = 6,178.80/x
  3. Step 3: Cross multiply
    10,653.66x = 14,703.48 × 6,178.80
  4. Step 4: Simplify right side
    10,653.66x = 90,849,862.22
  5. Step 5: Solve for x
    x = 90,849,862.22/10,653.66
  6. Step 6: Final answer
    x = 8,527.57

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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.