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Finding the Fourth Proportional to 12,646.80, 17,465.22 and 10,430.64

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Solution

The fourth proportional to 12,646.80, 17,465.22 and 10,430.64 is: 14,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.80 : 17,465.22 = 10,430.64 : x
  2. Step 2: Convert to fraction form
    12,646.80/17,465.22 = 10,430.64/x
  3. Step 3: Cross multiply
    12,646.80x = 17,465.22 × 10,430.64
  4. Step 4: Simplify right side
    12,646.80x = 182,173,422.34
  5. Step 5: Solve for x
    x = 182,173,422.34/12,646.80
  6. Step 6: Final answer
    x = 14,404.70

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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.