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Finding the Fourth Proportional to 9,901.80, 14,852.70 and 6,402.60

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Solution

The fourth proportional to 9,901.80, 14,852.70 and 6,402.60 is: 9,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.80 : 14,852.70 = 6,402.60 : x
  2. Step 2: Convert to fraction form
    9,901.80/14,852.70 = 6,402.60/x
  3. Step 3: Cross multiply
    9,901.80x = 14,852.70 × 6,402.60
  4. Step 4: Simplify right side
    9,901.80x = 95,095,897.02
  5. Step 5: Solve for x
    x = 95,095,897.02/9,901.80
  6. Step 6: Final answer
    x = 9,603.90

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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.