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Finding the Fourth Proportional to 10,400.58, 14,356.72 and 7,060.68

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Solution

The fourth proportional to 10,400.58, 14,356.72 and 7,060.68 is: 9,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.58 : 14,356.72 = 7,060.68 : x
  2. Step 2: Convert to fraction form
    10,400.58/14,356.72 = 7,060.68/x
  3. Step 3: Cross multiply
    10,400.58x = 14,356.72 × 7,060.68
  4. Step 4: Simplify right side
    10,400.58x = 101,368,205.77
  5. Step 5: Solve for x
    x = 101,368,205.77/10,400.58
  6. Step 6: Final answer
    x = 9,746.40

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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.