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Finding the Fourth Proportional to 12,973.42, 19,430.94 and 9,095.14

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Solution

The fourth proportional to 12,973.42, 19,430.94 and 9,095.14 is: 13,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.42 : 19,430.94 = 9,095.14 : x
  2. Step 2: Convert to fraction form
    12,973.42/19,430.94 = 9,095.14/x
  3. Step 3: Cross multiply
    12,973.42x = 19,430.94 × 9,095.14
  4. Step 4: Simplify right side
    12,973.42x = 176,727,119.63
  5. Step 5: Solve for x
    x = 176,727,119.63/12,973.42
  6. Step 6: Final answer
    x = 13,622.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.