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Finding the Fourth Proportional to 10,801.54, 14,897.31 and 9,070.15

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Solution

The fourth proportional to 10,801.54, 14,897.31 and 9,070.15 is: 12,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.54 : 14,897.31 = 9,070.15 : x
  2. Step 2: Convert to fraction form
    10,801.54/14,897.31 = 9,070.15/x
  3. Step 3: Cross multiply
    10,801.54x = 14,897.31 × 9,070.15
  4. Step 4: Simplify right side
    10,801.54x = 135,120,836.30
  5. Step 5: Solve for x
    x = 135,120,836.30/10,801.54
  6. Step 6: Final answer
    x = 12,509.40

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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.