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Finding the Fourth Proportional to 10,693.95, 14,752.53 and 6,918.30

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Solution

The fourth proportional to 10,693.95, 14,752.53 and 6,918.30 is: 9,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.95 : 14,752.53 = 6,918.30 : x
  2. Step 2: Convert to fraction form
    10,693.95/14,752.53 = 6,918.30/x
  3. Step 3: Cross multiply
    10,693.95x = 14,752.53 × 6,918.30
  4. Step 4: Simplify right side
    10,693.95x = 102,062,393.71
  5. Step 5: Solve for x
    x = 102,062,393.71/10,693.95
  6. Step 6: Final answer
    x = 9,543.94

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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.