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Finding the Fourth Proportional to 9,870.16, 14,810.10 and 6,967.12

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Solution

The fourth proportional to 9,870.16, 14,810.10 and 6,967.12 is: 10,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.16 : 14,810.10 = 6,967.12 : x
  2. Step 2: Convert to fraction form
    9,870.16/14,810.10 = 6,967.12/x
  3. Step 3: Cross multiply
    9,870.16x = 14,810.10 × 6,967.12
  4. Step 4: Simplify right side
    9,870.16x = 103,183,743.91
  5. Step 5: Solve for x
    x = 103,183,743.91/9,870.16
  6. Step 6: Final answer
    x = 10,454.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.