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Finding the Fourth Proportional to 10,646.95, 14,684.97 and 7,055.41

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Solution

The fourth proportional to 10,646.95, 14,684.97 and 7,055.41 is: 9,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.95 : 14,684.97 = 7,055.41 : x
  2. Step 2: Convert to fraction form
    10,646.95/14,684.97 = 7,055.41/x
  3. Step 3: Cross multiply
    10,646.95x = 14,684.97 × 7,055.41
  4. Step 4: Simplify right side
    10,646.95x = 103,608,484.19
  5. Step 5: Solve for x
    x = 103,608,484.19/10,646.95
  6. Step 6: Final answer
    x = 9,731.28

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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.