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Finding the Fourth Proportional to 15,970.16, 22,036.08 and 9,256.64

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Solution

The fourth proportional to 15,970.16, 22,036.08 and 9,256.64 is: 12,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.16 : 22,036.08 = 9,256.64 : x
  2. Step 2: Convert to fraction form
    15,970.16/22,036.08 = 9,256.64/x
  3. Step 3: Cross multiply
    15,970.16x = 22,036.08 × 9,256.64
  4. Step 4: Simplify right side
    15,970.16x = 203,980,059.57
  5. Step 5: Solve for x
    x = 203,980,059.57/15,970.16
  6. Step 6: Final answer
    x = 12,772.57

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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.