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Finding the Fourth Proportional to 12,053.61, 16,632 and 7,574.19

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Solution

The fourth proportional to 12,053.61, 16,632 and 7,574.19 is: 10,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.61 : 16,632 = 7,574.19 : x
  2. Step 2: Convert to fraction form
    12,053.61/16,632 = 7,574.19/x
  3. Step 3: Cross multiply
    12,053.61x = 16,632 × 7,574.19
  4. Step 4: Simplify right side
    12,053.61x = 125,973,928.08
  5. Step 5: Solve for x
    x = 125,973,928.08/12,053.61
  6. Step 6: Final answer
    x = 10,451.14

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Double scale
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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.