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Finding the Fourth Proportional to 12,178.60, 16,806.18 and 7,210.60

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Solution

The fourth proportional to 12,178.60, 16,806.18 and 7,210.60 is: 9,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.60 : 16,806.18 = 7,210.60 : x
  2. Step 2: Convert to fraction form
    12,178.60/16,806.18 = 7,210.60/x
  3. Step 3: Cross multiply
    12,178.60x = 16,806.18 × 7,210.60
  4. Step 4: Simplify right side
    12,178.60x = 121,182,641.51
  5. Step 5: Solve for x
    x = 121,182,641.51/12,178.60
  6. Step 6: Final answer
    x = 9,950.46

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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.