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Finding the Fourth Proportional to 15,970.32, 23,973.10 and 9,313.94

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Solution

The fourth proportional to 15,970.32, 23,973.10 and 9,313.94 is: 13,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.32 : 23,973.10 = 9,313.94 : x
  2. Step 2: Convert to fraction form
    15,970.32/23,973.10 = 9,313.94/x
  3. Step 3: Cross multiply
    15,970.32x = 23,973.10 × 9,313.94
  4. Step 4: Simplify right side
    15,970.32x = 223,284,015.01
  5. Step 5: Solve for x
    x = 223,284,015.01/15,970.32
  6. Step 6: Final answer
    x = 13,981.19

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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.