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Finding the Fourth Proportional to 7,069.32, 9,746.22 and 6,085.16

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Solution

The fourth proportional to 7,069.32, 9,746.22 and 6,085.16 is: 8,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.32 : 9,746.22 = 6,085.16 : x
  2. Step 2: Convert to fraction form
    7,069.32/9,746.22 = 6,085.16/x
  3. Step 3: Cross multiply
    7,069.32x = 9,746.22 × 6,085.16
  4. Step 4: Simplify right side
    7,069.32x = 59,307,308.10
  5. Step 5: Solve for x
    x = 59,307,308.10/7,069.32
  6. Step 6: Final answer
    x = 8,389.39

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Double scale
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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.