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Finding the Fourth Proportional to 12,646.48, 17,446.72 and 9,283.48

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Solution

The fourth proportional to 12,646.48, 17,446.72 and 9,283.48 is: 12,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.48 : 17,446.72 = 9,283.48 : x
  2. Step 2: Convert to fraction form
    12,646.48/17,446.72 = 9,283.48/x
  3. Step 3: Cross multiply
    12,646.48x = 17,446.72 × 9,283.48
  4. Step 4: Simplify right side
    12,646.48x = 161,966,276.19
  5. Step 5: Solve for x
    x = 161,966,276.19/12,646.48
  6. Step 6: Final answer
    x = 12,807.22

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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.