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Finding the Fourth Proportional to 10,925.16, 15,078 and 6,210.16

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Solution

The fourth proportional to 10,925.16, 15,078 and 6,210.16 is: 8,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.16 : 15,078 = 6,210.16 : x
  2. Step 2: Convert to fraction form
    10,925.16/15,078 = 6,210.16/x
  3. Step 3: Cross multiply
    10,925.16x = 15,078 × 6,210.16
  4. Step 4: Simplify right side
    10,925.16x = 93,636,792.48
  5. Step 5: Solve for x
    x = 93,636,792.48/10,925.16
  6. Step 6: Final answer
    x = 8,570.75

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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.