Home / 10,526.40-14,526-6,744.24

Finding the Fourth Proportional to 10,526.40, 14,526 and 6,744.24

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Solution

The fourth proportional to 10,526.40, 14,526 and 6,744.24 is: 9,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.40 : 14,526 = 6,744.24 : x
  2. Step 2: Convert to fraction form
    10,526.40/14,526 = 6,744.24/x
  3. Step 3: Cross multiply
    10,526.40x = 14,526 × 6,744.24
  4. Step 4: Simplify right side
    10,526.40x = 97,966,830.24
  5. Step 5: Solve for x
    x = 97,966,830.24/10,526.40
  6. Step 6: Final answer
    x = 9,306.77

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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.