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Finding the Fourth Proportional to 10,754.32, 14,837.16 and 7,030.48

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Solution

The fourth proportional to 10,754.32, 14,837.16 and 7,030.48 is: 9,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.32 : 14,837.16 = 7,030.48 : x
  2. Step 2: Convert to fraction form
    10,754.32/14,837.16 = 7,030.48/x
  3. Step 3: Cross multiply
    10,754.32x = 14,837.16 × 7,030.48
  4. Step 4: Simplify right side
    10,754.32x = 104,312,356.64
  5. Step 5: Solve for x
    x = 104,312,356.64/10,754.32
  6. Step 6: Final answer
    x = 9,699.58

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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.