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Finding the Fourth Proportional to 10,700.60, 16,029.30 and 7,417.40

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Solution

The fourth proportional to 10,700.60, 16,029.30 and 7,417.40 is: 11,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.60 : 16,029.30 = 7,417.40 : x
  2. Step 2: Convert to fraction form
    10,700.60/16,029.30 = 7,417.40/x
  3. Step 3: Cross multiply
    10,700.60x = 16,029.30 × 7,417.40
  4. Step 4: Simplify right side
    10,700.60x = 118,895,729.82
  5. Step 5: Solve for x
    x = 118,895,729.82/10,700.60
  6. Step 6: Final answer
    x = 11,111.13

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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.