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Finding the Fourth Proportional to 9,897.77, 14,869.88 and 9,337.34

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Solution

The fourth proportional to 9,897.77, 14,869.88 and 9,337.34 is: 14,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.77 : 14,869.88 = 9,337.34 : x
  2. Step 2: Convert to fraction form
    9,897.77/14,869.88 = 9,337.34/x
  3. Step 3: Cross multiply
    9,897.77x = 14,869.88 × 9,337.34
  4. Step 4: Simplify right side
    9,897.77x = 138,845,125.32
  5. Step 5: Solve for x
    x = 138,845,125.32/9,897.77
  6. Step 6: Final answer
    x = 14,027.92

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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.