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Finding the Fourth Proportional to 11,746.95, 16,211.28 and 7,030.32

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Solution

The fourth proportional to 11,746.95, 16,211.28 and 7,030.32 is: 9,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.95 : 16,211.28 = 7,030.32 : x
  2. Step 2: Convert to fraction form
    11,746.95/16,211.28 = 7,030.32/x
  3. Step 3: Cross multiply
    11,746.95x = 16,211.28 × 7,030.32
  4. Step 4: Simplify right side
    11,746.95x = 113,970,486.01
  5. Step 5: Solve for x
    x = 113,970,486.01/11,746.95
  6. Step 6: Final answer
    x = 9,702.13

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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.