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Finding the Fourth Proportional to 9,957.16, 14,963.09 and 9,307

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Solution

The fourth proportional to 9,957.16, 14,963.09 and 9,307 is: 13,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.16 : 14,963.09 = 9,307 : x
  2. Step 2: Convert to fraction form
    9,957.16/14,963.09 = 9,307/x
  3. Step 3: Cross multiply
    9,957.16x = 14,963.09 × 9,307
  4. Step 4: Simplify right side
    9,957.16x = 139,261,478.63
  5. Step 5: Solve for x
    x = 139,261,478.63/9,957.16
  6. Step 6: Final answer
    x = 13,986.06

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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.