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Finding the Fourth Proportional to 10,594.60, 14,602.02 and 10,102.12

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Solution

The fourth proportional to 10,594.60, 14,602.02 and 10,102.12 is: 13,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.60 : 14,602.02 = 10,102.12 : x
  2. Step 2: Convert to fraction form
    10,594.60/14,602.02 = 10,102.12/x
  3. Step 3: Cross multiply
    10,594.60x = 14,602.02 × 10,102.12
  4. Step 4: Simplify right side
    10,594.60x = 147,511,358.28
  5. Step 5: Solve for x
    x = 147,511,358.28/10,594.60
  6. Step 6: Final answer
    x = 13,923.26

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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.