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Finding the Fourth Proportional to 9,815.17, 13,545.16 and 5,339.16

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Solution

The fourth proportional to 9,815.17, 13,545.16 and 5,339.16 is: 7,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.17 : 13,545.16 = 5,339.16 : x
  2. Step 2: Convert to fraction form
    9,815.17/13,545.16 = 5,339.16/x
  3. Step 3: Cross multiply
    9,815.17x = 13,545.16 × 5,339.16
  4. Step 4: Simplify right side
    9,815.17x = 72,319,749.77
  5. Step 5: Solve for x
    x = 72,319,749.77/9,815.17
  6. Step 6: Final answer
    x = 7,368.16

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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.